264=(2w-2)w

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Solution for 264=(2w-2)w equation: 


Simplifying
264 = (2w + -2) * w

Reorder the terms:
264 = (-2 + 2w) * w

Reorder the terms for easier multiplication:
264 = w(-2 + 2w)
264 = (-2 * w + 2w * w)
264 = (-2w + 2w2)

Solving
264 = -2w + 2w2

Solving for variable 'w'.

Reorder the terms:
264 + 2w + -2w2 = -2w + 2w + 2w2 + -2w2

Combine like terms: -2w + 2w = 0
264 + 2w + -2w2 = 0 + 2w2 + -2w2
264 + 2w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
264 + 2w + -2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(132 + w + -1w2) = 0

Factor a trinomial.
2((12 + -1w)(11 + w)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(12 + -1w)' equal to zero and attempt to solve:

Simplifying
12 + -1w = 0

Solving
12 + -1w = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1w = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1w = 0 + -12
-1w = 0 + -12

Combine like terms: 0 + -12 = -12
-1w = -12

Divide each side by '-1'.
w = 12

Simplifying
w = 12

Subproblem 2
Set the factor '(11 + w)' equal to zero and attempt to solve:

Simplifying
11 + w = 0

Solving
11 + w = 0

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

Add '-11' to each side of the equation.
11 + -11 + w = 0 + -11

Combine like terms: 11 + -11 = 0
0 + w = 0 + -11
w = 0 + -11

Combine like terms: 0 + -11 = -11
w = -11

Simplifying
w = -11
Solution
w = {12, -11}

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