8x(6x+9x)-20=22

Solution for 8x(6x+9x)-20=22 equation:

Simplifying
8x(6x + 9x) + -20 = 22

Combine like terms: 6x + 9x = 15x
8x(15x) + -20 = 22

Remove parenthesis around (15x)
8x * 15x + -20 = 22

Reorder the terms for easier multiplication:
8 * 15x * x + -20 = 22

Multiply 8 * 15
120x * x + -20 = 22

Multiply x * x
120x2 + -20 = 22

Reorder the terms:
-20 + 120x2 = 22

Solving
-20 + 120x2 = 22

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 120x2 = 22 + 20

Combine like terms: -20 + 20 = 0
0 + 120x2 = 22 + 20
120x2 = 22 + 20

Combine like terms: 22 + 20 = 42
120x2 = 42

Divide each side by '120'.
x2 = 0.35

Simplifying
x2 = 0.35

Take the square root of each side:
x = {-0.591607978, 0.591607978}