x^2+4=2x^2-5

Solution for x^2+4=2x^2-5 equation:

Simplifying
x2 + 4 = 2x2 + -5

Reorder the terms:
4 + x2 = 2x2 + -5

Reorder the terms:
4 + x2 = -5 + 2x2

Solving
4 + x2 = -5 + 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.
4 + x2 + -2x2 = -5 + 2x2 + -2x2

Combine like terms: x2 + -2x2 = -1x2
4 + -1x2 = -5 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
4 + -1x2 = -5 + 0
4 + -1x2 = -5

Add '-4' to each side of the equation.
4 + -4 + -1x2 = -5 + -4

Combine like terms: 4 + -4 = 0
0 + -1x2 = -5 + -4
-1x2 = -5 + -4

Combine like terms: -5 + -4 = -9
-1x2 = -9

Divide each side by '-1'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}