-x^2+9=2x^2-6

Solution for -x^2+9=2x^2-6 equation:

Simplifying
-1x2 + 9 = 2x2 + -6

Reorder the terms:
9 + -1x2 = 2x2 + -6

Reorder the terms:
9 + -1x2 = -6 + 2x2

Solving
9 + -1x2 = -6 + 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.
9 + -1x2 + -2x2 = -6 + 2x2 + -2x2

Combine like terms: -1x2 + -2x2 = -3x2
9 + -3x2 = -6 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
9 + -3x2 = -6 + 0
9 + -3x2 = -6

Add '-9' to each side of the equation.
9 + -9 + -3x2 = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -3x2 = -6 + -9
-3x2 = -6 + -9

Combine like terms: -6 + -9 = -15
-3x2 = -15

Divide each side by '-3'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}