(11x*x)-1=(6x*x)+2

Solution for (11x*x)-1=(6x*x)+2 equation:

Simplifying
(11x * x) + -1 = (6x * x) + 2

Multiply x * x
(11x2) + -1 = (6x * x) + 2

Reorder the terms:
-1 + (11x2) = (6x * x) + 2

Multiply x * x
-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}