11x^2-1=6x^2+2

Solution for 11x^2-1=6x^2+2 equation:

Simplifying
11x2 + -1 = 6x2 + 2

Reorder the terms:
-1 + 11x2 = 6x2 + 2

Reorder the terms:
-1 + 11x2 = 2 + 6x2

Solving
-1 + 11x2 = 2 + 6x2

Solving for variable 'x'.

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

Add '-6x2' to each side of the equation.
-1 + 11x2 + -6x2 = 2 + 6x2 + -6x2

Combine like terms: 11x2 + -6x2 = 5x2
-1 + 5x2 = 2 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-1 + 5x2 = 2 + 0
-1 + 5x2 = 2

Add '1' to each side of the equation.
-1 + 1 + 5x2 = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 5x2 = 2 + 1
5x2 = 2 + 1

Combine like terms: 2 + 1 = 3
5x2 = 3

Divide each side by '5'.
x2 = 0.6

Simplifying
x2 = 0.6

Take the square root of each side:
x = {-0.774596669, 0.774596669}