.5(x^2-6)=12

Solution for .5(x^2-6)=12 equation:

Simplifying
0.5(x2 + -6) = 12

Reorder the terms:
0.5(-6 + x2) = 12
(-6 * 0.5 + x2 * 0.5) = 12
(-3 + 0.5x2) = 12

Solving
-3 + 0.5x2 = 12

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 0.5x2 = 12 + 3

Combine like terms: -3 + 3 = 0
0 + 0.5x2 = 12 + 3
0.5x2 = 12 + 3

Combine like terms: 12 + 3 = 15
0.5x2 = 15

Divide each side by '0.5'.
x2 = 30

Simplifying
x2 = 30

Take the square root of each side:
x = {-5.477225575, 5.477225575}