3x^2-86=x^2+86

Solution for 3x^2-86=x^2+86 equation:

Simplifying
3x2 + -86 = x2 + 86

Reorder the terms:
-86 + 3x2 = x2 + 86

Reorder the terms:
-86 + 3x2 = 86 + x2

Solving
-86 + 3x2 = 86 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-86 + 3x2 + -1x2 = 86 + x2 + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
-86 + 2x2 = 86 + x2 + -1x2

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

Add '86' to each side of the equation.
-86 + 86 + 2x2 = 86 + 86

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

Combine like terms: 86 + 86 = 172
2x2 = 172

Divide each side by '2'.
x2 = 86

Simplifying
x2 = 86

Take the square root of each side:
x = {-9.273618495, 9.273618495}