x^2+35=2x^2-86

Solution for x^2+35=2x^2-86 equation:

Simplifying
x2 + 35 = 2x2 + -86

Reorder the terms:
35 + x2 = 2x2 + -86

Reorder the terms:
35 + x2 = -86 + 2x2

Solving
35 + x2 = -86 + 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.
35 + x2 + -2x2 = -86 + 2x2 + -2x2

Combine like terms: x2 + -2x2 = -1x2
35 + -1x2 = -86 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
35 + -1x2 = -86 + 0
35 + -1x2 = -86

Add '-35' to each side of the equation.
35 + -35 + -1x2 = -86 + -35

Combine like terms: 35 + -35 = 0
0 + -1x2 = -86 + -35
-1x2 = -86 + -35

Combine like terms: -86 + -35 = -121
-1x2 = -121

Divide each side by '-1'.
x2 = 121

Simplifying
x2 = 121

Take the square root of each side:
x = {-11, 11}