Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Feb 09, 2024

Solve $2 d-g^{3}=A h$ for $A$ , accounting for capitalization.

STEP 1

Assumptions
1. The equation given is $2d - g^3 = Ah$ .
2. We need to solve for $A$ .
3. The variables $d$ , $g$ , and $h$ are distinct from $A$ and are treated as constants in this context.
4. The letter case is important, meaning $A$ and $a$ would be considered different variables.

STEP 2

Isolate the term containing $A$ on one side of the equation. Since $A$ is being multiplied by $h$ , we want to move all other terms to the opposite side.
$Ah = 2d - g^3$

STEP 3

To solve for $A$ , we need to divide both sides of the equation by $h$ .
$A = \frac{2d - g^3}{h}$

STEP 4

The expression $\frac{2d - g^3}{h}$ is the solution for $A$ .
$A$ has been isolated and solved for in terms of $d$ , $g$ , and $h$ .

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