2(x^2-66)=-13

Solution for 2(x^2-66)=-13 equation:

Simplifying
2(x2 + -66) = -13

Reorder the terms:
2(-66 + x2) = -13
(-66 * 2 + x2 * 2) = -13
(-132 + 2x2) = -13

Solving
-132 + 2x2 = -13

Solving for variable 'x'.

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

Add '132' to each side of the equation.
-132 + 132 + 2x2 = -13 + 132

Combine like terms: -132 + 132 = 0
0 + 2x2 = -13 + 132
2x2 = -13 + 132

Combine like terms: -13 + 132 = 119
2x2 = 119

Divide each side by '2'.
x2 = 59.5

Simplifying
x2 = 59.5

Take the square root of each side:
x = {-7.71362431, 7.71362431}