-91+6x^2=-x^2

Solution for -91+6x^2=-x^2 equation:

Simplifying
-91 + 6x2 = -1x2

Solving
-91 + 6x2 = -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.
-91 + 6x2 + x2 = -1x2 + x2

Combine like terms: 6x2 + x2 = 7x2
-91 + 7x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-91 + 7x2 = 0

Add '91' to each side of the equation.
-91 + 91 + 7x2 = 0 + 91

Combine like terms: -91 + 91 = 0
0 + 7x2 = 0 + 91
7x2 = 0 + 91

Combine like terms: 0 + 91 = 91
7x2 = 91

Divide each side by '7'.
x2 = 13

Simplifying
x2 = 13

Take the square root of each side:
x = {-3.605551275, 3.605551275}