3x^2-1=56

Solution for 3x^2-1=56 equation:

Simplifying
3x2 + -1 = 56

Reorder the terms:
-1 + 3x2 = 56

Solving
-1 + 3x2 = 56

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 3x2 = 56 + 1

Combine like terms: -1 + 1 = 0
0 + 3x2 = 56 + 1
3x2 = 56 + 1

Combine like terms: 56 + 1 = 57
3x2 = 57

Divide each side by '3'.
x2 = 19

Simplifying
x2 = 19

Take the square root of each side:
x = {-4.358898944, 4.358898944}