-1x^2+4=2x^2-5

Solution for -1x^2+4=2x^2-5 equation:

Simplifying
-1x2 + 4 = 2x2 + -5

Reorder the terms:
4 + -1x2 = 2x2 + -5

Reorder the terms:
4 + -1x2 = -5 + 2x2

Solving
4 + -1x2 = -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 + -1x2 + -2x2 = -5 + 2x2 + -2x2

Combine like terms: -1x2 + -2x2 = -3x2
4 + -3x2 = -5 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
4 + -3x2 = -5 + 0
4 + -3x2 = -5

Add '-4' to each side of the equation.
4 + -4 + -3x2 = -5 + -4

Combine like terms: 4 + -4 = 0
0 + -3x2 = -5 + -4
-3x2 = -5 + -4

Combine like terms: -5 + -4 = -9
-3x2 = -9

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

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}