Solve for A -g+F/A=h^3

$- g + \frac{F}{A} = h^{3}$

Add $g$ to both sides of the equation.

$\frac{F}{A} = h^{3} + g$

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$A, 1, 1$

The LCM of one and any expression is the expression.

$A$

Multiply each term in $\frac{F}{A} = h^{3} + g$ by $A$ to eliminate the fractions.

Multiply each term in $\frac{F}{A} = h^{3} + g$ by $A$ .

$\frac{F}{A} A = h^{3} A + g A$

Simplify the left side.

Cancel the common factor of $A$ .

Cancel the common factor.

$\frac{F}{A} A = h^{3} A + g A$

Rewrite the expression.

$F = h^{3} A + g A$

Solve the equation.

Rewrite the equation as $h^{3} A + g A = F$ .

$h^{3} A + g A = F$

Factor $A$ out of $h^{3} A + g A$ .

Factor $A$ out of $h^{3} A$ .

$A h^{3} + g A = F$

Factor $A$ out of $g A$ .

$A h^{3} + A g = F$

Factor $A$ out of $A h^{3} + A g$ .

$A (h^{3} + g) = F$

Divide each term in $A (h^{3} + g) = F$ by $h^{3} + g$ and simplify.

Divide each term in $A (h^{3} + g) = F$ by $h^{3} + g$ .

$\frac{A (h^{3} + g)}{h^{3} + g} = \frac{F}{h^{3} + g}$

Simplify the left side.

Cancel the common factor of $h^{3} + g$ .

Cancel the common factor.

$\frac{A (h^{3} + g)}{h^{3} + g} = \frac{F}{h^{3} + g}$

Divide $A$ by $1$ .

$A = \frac{F}{h^{3} + g}$