3x^2-150=-x^2+106

Solution for 3x^2-150=-x^2+106 equation:

Simplifying
3x2 + -150 = -1x2 + 106

Reorder the terms:
-150 + 3x2 = -1x2 + 106

Reorder the terms:
-150 + 3x2 = 106 + -1x2

Solving
-150 + 3x2 = 106 + -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
-150 + 3x2 + x2 = 106 + -1x2 + x2

Combine like terms: 3x2 + x2 = 4x2
-150 + 4x2 = 106 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-150 + 4x2 = 106 + 0
-150 + 4x2 = 106

Add '150' to each side of the equation.
-150 + 150 + 4x2 = 106 + 150

Combine like terms: -150 + 150 = 0
0 + 4x2 = 106 + 150
4x2 = 106 + 150

Combine like terms: 106 + 150 = 256
4x2 = 256

Divide each side by '4'.
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}