w(2w-2)=220

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Solution for w(2w-2)=220 equation:


Simplifying
w(2w + -2) = 220

Reorder the terms:
w(-2 + 2w) = 220
(-2 * w + 2w * w) = 220
(-2w + 2w2) = 220

Solving
-2w + 2w2 = 220

Solving for variable 'w'.

Reorder the terms:
-220 + -2w + 2w2 = 220 + -220

Combine like terms: 220 + -220 = 0
-220 + -2w + 2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-110 + -1w + w2) = 0

Factor a trinomial.
2((-10 + -1w)(11 + -1w)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-10 + -1w)' equal to zero and attempt to solve: Simplifying -10 + -1w = 0 Solving -10 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1w = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1w = 0 + 10 -1w = 0 + 10 Combine like terms: 0 + 10 = 10 -1w = 10 Divide each side by '-1'. w = -10 Simplifying w = -10

Subproblem 2

Set the factor '(11 + -1w)' equal to zero and attempt to solve: Simplifying 11 + -1w = 0 Solving 11 + -1w = 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 + -1w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1w = 0 + -11 -1w = 0 + -11 Combine like terms: 0 + -11 = -11 -1w = -11 Divide each side by '-1'. w = 11 Simplifying w = 11

Solution

w = {-10, 11}

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