How do you solve -x ^ { 2} + 2x + 3= x ^ { 2} - 2x + 3?

Mar 10, 2017

The answers are $0$ or $2$.

Explanation:

$- {x}^{2} + 2 x + 3 = {x}^{2} - 2 x + 3$

$\implies - {x}^{2} + 2 x + 3 - {x}^{2} + 2 x - 3 = 0$

$\implies - 2 {x}^{2} + 4 x = 0$

$\implies 2 {x}^{2} - 4 x = 0$

$\implies {x}^{2} - 2 x = 0$

$\implies x \left(x - 2\right) = 0$

Hence, $x$ is either $2$ or $0$.