Solve for g 1/2g=H-Q^3

$\frac{1}{2} g = H - Q^{3}$

Step 1

Multiply both sides of the equation by $2$ .

$2 (\frac{1}{2} g) = 2 (H - Q^{3})$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $2 (\frac{1}{2} g)$ .

Combine $\frac{1}{2}$ and $g$ .

$2 \frac{g}{2} = 2 (H - Q^{3})$

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{g}{2} = 2 (H - Q^{3})$

Rewrite the expression.

$g = 2 (H - Q^{3})$

$g = 2 (H - Q^{3})$

$g = 2 (H - Q^{3})$

$g = 2 (H - Q^{3})$

Simplify the right side.

Simplify $2 (H - Q^{3})$ .

Apply the distributive property.

$g = 2 H + 2 (- Q^{3})$

Multiply $- 1$ by $2$ .

$g = 2 H - 2 Q^{3}$

$g = 2 H - 2 Q^{3}$

$g = 2 H - 2 Q^{3}$

$g = 2 H - 2 Q^{3}$

Step 3

Reorder $2 H$ and $- 2 Q^{3}$ .

$g = - 2 Q^{3} + 2 H$

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