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 + w + w2) = 0

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

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

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

Solution

w = {-11, 10}

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