Solve for A b=f^2A+2HA

$b = f^{2} A + 2 H A$

Step 1

Rewrite the equation as $f^{2} A + 2 H A = b$ .

$f^{2} A + 2 H A = b$

Step 2

Factor $A$ out of $f^{2} A + 2 H A$ .

Factor $A$ out of $f^{2} A$ .

$A f^{2} + 2 H A = b$

Factor $A$ out of $2 H A$ .

$A f^{2} + A (2 H) = b$

Factor $A$ out of $A f^{2} + A (2 H)$ .

$A (f^{2} + 2 H) = b$

Step 3

Divide each term in $A (f^{2} + 2 H) = b$ by $f^{2} + 2 H$ and simplify.

Divide each term in $A (f^{2} + 2 H) = b$ by $f^{2} + 2 H$ .

$\frac{A (f^{2} + 2 H)}{f^{2} + 2 H} = \frac{b}{f^{2} + 2 H}$

Simplify the left side.

Cancel the common factor of $f^{2} + 2 H$ .

Cancel the common factor.

$\frac{A (f^{2} + 2 H)}{f^{2} + 2 H} = \frac{b}{f^{2} + 2 H}$

Divide $A$ by $1$ .

$A = \frac{b}{f^{2} + 2 H}$