6(x^2-1)-5=0

Solution for 6(x^2-1)-5=0 equation:

Simplifying
6(x2 + -1) + -5 = 0

Reorder the terms:
6(-1 + x2) + -5 = 0
(-1 * 6 + x2 * 6) + -5 = 0
(-6 + 6x2) + -5 = 0

Reorder the terms:
-6 + -5 + 6x2 = 0

Combine like terms: -6 + -5 = -11
-11 + 6x2 = 0

Solving
-11 + 6x2 = 0

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 6x2 = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 6x2 = 0 + 11
6x2 = 0 + 11

Combine like terms: 0 + 11 = 11
6x2 = 11

Divide each side by '6'.
x2 = 1.833333333

Simplifying
x2 = 1.833333333

Take the square root of each side:
x = {-1.354006401, 1.354006401}