11=3x^2-1

Solution for 11=3x^2-1 equation:

Simplifying
11 = 3x2 + -1

Reorder the terms:
11 = -1 + 3x2

Solving
11 = -1 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
11 + -3x2 = -1 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
11 + -3x2 = -1 + 0
11 + -3x2 = -1

Add '-11' to each side of the equation.
11 + -11 + -3x2 = -1 + -11

Combine like terms: 11 + -11 = 0
0 + -3x2 = -1 + -11
-3x2 = -1 + -11

Combine like terms: -1 + -11 = -12
-3x2 = -12

Divide each side by '-3'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}