(3w-6)2-144=0

Solution for (3w-6)2-144=0 equation:

Simplifying
(3w + -6) * 2 + -144 = 0

Reorder the terms:
(-6 + 3w) * 2 + -144 = 0

Reorder the terms for easier multiplication:
2(-6 + 3w) + -144 = 0
(-6 * 2 + 3w * 2) + -144 = 0
(-12 + 6w) + -144 = 0

Reorder the terms:
-12 + -144 + 6w = 0

Combine like terms: -12 + -144 = -156
-156 + 6w = 0

Solving
-156 + 6w = 0

Solving for variable 'w'.

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

Add '156' to each side of the equation.
-156 + 156 + 6w = 0 + 156

Combine like terms: -156 + 156 = 0
0 + 6w = 0 + 156
6w = 0 + 156

Combine like terms: 0 + 156 = 156
6w = 156

Divide each side by '6'.
w = 26

Simplifying
w = 26