126=(3w-3)w

Solution for 126=(3w-3)w equation:

Simplifying
126 = (3w + -3) * w

Reorder the terms:
126 = (-3 + 3w) * w

Reorder the terms for easier multiplication:
126 = w(-3 + 3w)
126 = (-3 * w + 3w * w)
126 = (-3w + 3w2)

Solving
126 = -3w + 3w2

Solving for variable 'w'.

Reorder the terms:
126 + 3w + -3w2 = -3w + 3w + 3w2 + -3w2

Combine like terms: -3w + 3w = 0
126 + 3w + -3w2 = 0 + 3w2 + -3w2
126 + 3w + -3w2 = 3w2 + -3w2

Combine like terms: 3w2 + -3w2 = 0
126 + 3w + -3w2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(42 + w + -1w2) = 0

Factor a trinomial.
3((7 + -1w)(6 + w)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(7 + -1w)' equal to zero and attempt to solve:

Simplifying
7 + -1w = 0

Solving
7 + -1w = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1w = 0 + -7
-1w = 0 + -7

Combine like terms: 0 + -7 = -7
-1w = -7

Divide each side by '-1'.
w = 7

Simplifying
w = 7
Subproblem 2
Set the factor '(6 + w)' equal to zero and attempt to solve:

Simplifying
6 + w = 0

Solving
6 + w = 0

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

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

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

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

Simplifying
w = -6
Solution
w = {7, -6}