23=2x^2-9+7

Solution for 23=2x^2-9+7 equation:

Simplifying
23 = 2x2 + -9 + 7

Reorder the terms:
23 = -9 + 7 + 2x2

Combine like terms: -9 + 7 = -2
23 = -2 + 2x2

Solving
23 = -2 + 2x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x2' to each side of the equation.
23 + -2x2 = -2 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
23 + -2x2 = -2 + 0
23 + -2x2 = -2

Add '-23' to each side of the equation.
23 + -23 + -2x2 = -2 + -23

Combine like terms: 23 + -23 = 0
0 + -2x2 = -2 + -23
-2x2 = -2 + -23

Combine like terms: -2 + -23 = -25
-2x2 = -25

Divide each side by '-2'.
x2 = 12.5

Simplifying
x2 = 12.5

Take the square root of each side:
x = {-3.535533906, 3.535533906}