11x^2-1=7x^2+2

Solution for 11x^2-1=7x^2+2 equation:

Simplifying
11x2 + -1 = 7x2 + 2

Reorder the terms:
-1 + 11x2 = 7x2 + 2

Reorder the terms:
-1 + 11x2 = 2 + 7x2

Solving
-1 + 11x2 = 2 + 7x2

Solving for variable 'x'.

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

Add '-7x2' to each side of the equation.
-1 + 11x2 + -7x2 = 2 + 7x2 + -7x2

Combine like terms: 11x2 + -7x2 = 4x2
-1 + 4x2 = 2 + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-1 + 4x2 = 2 + 0
-1 + 4x2 = 2

Add '1' to each side of the equation.
-1 + 1 + 4x2 = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 4x2 = 2 + 1
4x2 = 2 + 1

Combine like terms: 2 + 1 = 3
4x2 = 3

Divide each side by '4'.
x2 = 0.75

Simplifying
x2 = 0.75

Take the square root of each side:
x = {-0.866025404, 0.866025404}