Question Solve the quadratic equation $(x+3)(x-7)=0$ and find the roots.

Studdy Solution

STEP 1

Assumptions1. The equation is $(x+3)(x-7)=0$ . We are looking for the values of $x$ that satisfy the equation.

STEP 2

The equation is in the form of a product of two factors equal to zero. According to the zero product property, if the product of two factors is zero, then at least one of the factors must be zero. Thus, we can set each factor equal to zero and solve for $x$ .
$x+=0$ $x-7=0$

STEP 3

olve the first equation $x+3=0$ for $x$ .
$x+3=0 \Rightarrow x=-3$

STEP 4

olve the second equation $x-7=0$ for $x$ .
$x-7=0 \Rightarrow x=7$ The solutions to the equation $(x+3)(x-7)=0$ are $x=-3$ and $x=7$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

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

Parents Influencer program Contact Policy Terms