x^2-9=2x^2-25

Solution for x^2-9=2x^2-25 equation:

Simplifying
x2 + -9 = 2x2 + -25

Reorder the terms:
-9 + x2 = 2x2 + -25

Reorder the terms:
-9 + x2 = -25 + 2x2

Solving
-9 + x2 = -25 + 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 + x2 + -2x2 = -25 + 2x2 + -2x2

Combine like terms: x2 + -2x2 = -1x2
-9 + -1x2 = -25 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-9 + -1x2 = -25 + 0
-9 + -1x2 = -25

Add '9' to each side of the equation.
-9 + 9 + -1x2 = -25 + 9

Combine like terms: -9 + 9 = 0
0 + -1x2 = -25 + 9
-1x2 = -25 + 9

Combine like terms: -25 + 9 = -16
-1x2 = -16

Divide each side by '-1'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}