Solved on Oct 23, 2023

Solve for $p$ in the equation $(123+(-1.57895)(p-15)) p = 0$ .

STEP 1

Assumptions1. The equation is $(123+(-1.57895)(p-15)) p =0$ . We need to solve for $p$

STEP 2

The given equation is a product of two terms equal to zero. According to the zero-product property, if a product of factors is zero, then at least one of the factors must be zero. So, we can set each factor equal to zero and solve for $p$ .
$123+(-1.57895)(p-15) =0$ $p =0$

STEP 3

Let's solve the first equation. Distribute $-1.57895$ inside the parentheses.
$123 -1.57895p +23.68425 =0$

STEP 4

Combine like terms.
$-1.57895p +146.68425 =0$

STEP 5

Subtract $146.68425$ from both sides of the equation.
$-1.57895p = -146.68425$

STEP 6

Divide both sides of the equation by $-1.57895$ to solve for $p$ .
$p = \frac{-146.68425}{-1.57895}$

STEP 7

Calculate the value of $p$ .
$p \approx92.86$ So, the solutions for the equation $(123+(-1.57895)(p-15)) p =0$ are $p =0$ and $p \approx92.86$ .

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Solve for $p$ in the equation $(123+(-1.57895)(p-15)) p = 0$ .

STEP 1

Assumptions1. The equation is $(123+(-1.57895)(p-15)) p =0$ . We need to solve for $p$

STEP 2

The given equation is a product of two terms equal to zero. According to the zero-product property, if a product of factors is zero, then at least one of the factors must be zero. So, we can set each factor equal to zero and solve for $p$ .
$123+(-1.57895)(p-15) =0$ $p =0$

STEP 3

Let's solve the first equation. Distribute $-1.57895$ inside the parentheses.
$123 -1.57895p +23.68425 =0$

STEP 4

Combine like terms.
$-1.57895p +146.68425 =0$

STEP 5

Subtract $146.68425$ from both sides of the equation.
$-1.57895p = -146.68425$

STEP 6

Divide both sides of the equation by $-1.57895$ to solve for $p$ .
$p = \frac{-146.68425}{-1.57895}$

STEP 7

Calculate the value of $p$ .
$p \approx92.86$ So, the solutions for the equation $(123+(-1.57895)(p-15)) p =0$ are $p =0$ and $p \approx92.86$ .

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Solve for ppp in the equation (123+(−1.57895)(p−15))p=0(123+(-1.57895)(p-15)) p = 0(123+(−1.57895)(p−15))p=0.

STEP 1

Assumptions1. The equation is (123+(−1.57895)(p−15))p=0(123+(-1.57895)(p-15)) p =0(123+(−1.57895)(p−15))p=0 . We need to solve for ppp

STEP 2

STEP 3

Let's solve the first equation. Distribute −1.57895-1.57895−1.57895 inside the parentheses.123−1.57895p+23.68425=0123 -1.57895p +23.68425 =0123−1.57895p+23.68425=0

STEP 4

Combine like terms.−1.57895p+146.68425=0-1.57895p +146.68425 =0−1.57895p+146.68425=0

STEP 5

Subtract 146.68425146.68425146.68425 from both sides of the equation.−1.57895p=−146.68425-1.57895p = -146.68425−1.57895p=−146.68425

STEP 6

Divide both sides of the equation by −1.57895-1.57895−1.57895 to solve for ppp.p=−146.68425−1.57895p = \frac{-146.68425}{-1.57895}p=−1.57895−146.68425​

STEP 7

Calculate the value of ppp.p≈92.86p \approx92.86p≈92.86So, the solutions for the equation (123+(−1.57895)(p−15))p=0(123+(-1.57895)(p-15)) p =0(123+(−1.57895)(p−15))p=0 are p=0p =0p=0 and p≈92.86p \approx92.86p≈92.86.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Solve for $p$ in the equation $(123+(-1.57895)(p-15)) p = 0$ .

Assumptions1. The equation is $(123+(-1.57895)(p-15)) p =0$ . We need to solve for $p$

Let's solve the first equation. Distribute $-1.57895$ inside the parentheses.
$123 -1.57895p +23.68425 =0$

Combine like terms.
$-1.57895p +146.68425 =0$

Subtract $146.68425$ from both sides of the equation.
$-1.57895p = -146.68425$

Divide both sides of the equation by $-1.57895$ to solve for $p$ .
$p = \frac{-146.68425}{-1.57895}$

Calculate the value of $p$ .
$p \approx92.86$ So, the solutions for the equation $(123+(-1.57895)(p-15)) p =0$ are $p =0$ and $p \approx92.86$ .