Solve a=2b/4a^2

$$a = \frac { 2 b } { 4 a ^ { 2 } }$$

Solve for b

$$b=2a^{3}$$

$$a\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4a^{2}.

$$a\times 4a^{2}=2b$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$a^{3}\times 4=2b$$

Swap sides so that all variable terms are on the left hand side.

$$2b=a^{3}\times 4$$

The equation is in standard form.

$$2b=4a^{3}$$

Divide both sides by 2.

$$\frac{2b}{2}=\frac{4a^{3}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$b=\frac{4a^{3}}{2}$$

Divide 4a^{3} by 2.

$$b=2a^{3}$$

Solve for a

$$a=\frac{2^{\frac{2}{3}}\sqrt[3]{b}}{2}$$

$$b\neq 0$$