220=(w+12)w

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Solution for 220=(w+12)w equation:


Simplifying
220 = (w + 12) * w

Reorder the terms:
220 = (12 + w) * w

Reorder the terms for easier multiplication:
220 = w(12 + w)
220 = (12 * w + w * w)
220 = (12w + w2)

Solving
220 = 12w + w2

Solving for variable 'w'.

Reorder the terms:
220 + -12w + -1w2 = 12w + -12w + w2 + -1w2

Combine like terms: 12w + -12w = 0
220 + -12w + -1w2 = 0 + w2 + -1w2
220 + -12w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
220 + -12w + -1w2 = 0

Factor a trinomial.
(10 + -1w)(22 + w) = 0

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 '(22 + w)' equal to zero and attempt to solve: Simplifying 22 + w = 0 Solving 22 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + w = 0 + -22 Combine like terms: 22 + -22 = 0 0 + w = 0 + -22 w = 0 + -22 Combine like terms: 0 + -22 = -22 w = -22 Simplifying w = -22

Solution

w = {10, -22}

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