4(x^2-6)-22=150

Solution for 4(x^2-6)-22=150 equation:

Simplifying
4(x2 + -6) + -22 = 150

Reorder the terms:
4(-6 + x2) + -22 = 150
(-6 * 4 + x2 * 4) + -22 = 150
(-24 + 4x2) + -22 = 150

Reorder the terms:
-24 + -22 + 4x2 = 150

Combine like terms: -24 + -22 = -46
-46 + 4x2 = 150

Solving
-46 + 4x2 = 150

Solving for variable 'x'.

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

Add '46' to each side of the equation.
-46 + 46 + 4x2 = 150 + 46

Combine like terms: -46 + 46 = 0
0 + 4x2 = 150 + 46
4x2 = 150 + 46

Combine like terms: 150 + 46 = 196
4x2 = 196

Divide each side by '4'.
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}