Solve a=(a+a^2)

$$a = ( a + a ^ { 2 } )$$

Solve for a

$$a=0$$

Steps by Finding Square Root

Subtract a from both sides.

$$a-a=a^{2}$$

Combine a and -a to get 0.

$$0=a^{2}$$

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

$$a^{2}=0$$

Take the square root of both sides of the equation.

$$a=0 a=0$$

The equation is now solved. Solutions are the same.

$$a=0$$

Steps Using the Quadratic Formula

Subtract a from both sides.

$$a-a=a^{2}$$

Combine a and -a to get 0.

$$0=a^{2}$$

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

$$a^{2}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 0 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$a=\frac{0±\sqrt{0^{2}}}{2}$$

Take the square root of 0^{2}.

$$a=\frac{0±0}{2}$$

Divide 0 by 2.

$$a=0$$