x^2-6=-5x^2

Solution for x^2-6=-5x^2 equation:

Simplifying
x2 + -6 = -5x2

Reorder the terms:
-6 + x2 = -5x2

Solving
-6 + x2 = -5x2

Solving for variable 'x'.

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

Add '5x2' to each side of the equation.
-6 + x2 + 5x2 = -5x2 + 5x2

Combine like terms: x2 + 5x2 = 6x2
-6 + 6x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-6 + 6x2 = 0

Add '6' to each side of the equation.
-6 + 6 + 6x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 6x2 = 0 + 6
6x2 = 0 + 6

Combine like terms: 0 + 6 = 6
6x2 = 6

Divide each side by '6'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}