Solve for a D=Ga+3h^3a

$D = G a + 3 h^{3} a$

Step 1

Rewrite the equation as $G a + 3 h^{3} a = D$ .

$G a + 3 h^{3} a = D$

Step 2

Factor $a$ out of $G a + 3 h^{3} a$ .

Factor $a$ out of $G a$ .

$a G + 3 h^{3} a = D$

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

$a G + a (3 h^{3}) = D$

Factor $a$ out of $a G + a (3 h^{3})$ .

$a (G + 3 h^{3}) = D$

Step 3

Divide each term in $a (G + 3 h^{3}) = D$ by $G + 3 h^{3}$ and simplify.

Divide each term in $a (G + 3 h^{3}) = D$ by $G + 3 h^{3}$ .

$\frac{a (G + 3 h^{3})}{G + 3 h^{3}} = \frac{D}{G + 3 h^{3}}$

Simplify the left side.

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

Cancel the common factor.

$\frac{a (G + 3 h^{3})}{G + 3 h^{3}} = \frac{D}{G + 3 h^{3}}$

Divide $a$ by $1$ .

$a = \frac{D}{G + 3 h^{3}}$