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Simplifying 220 = w2 + 12w Reorder the terms: 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) = 0Subproblem 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 = 10Subproblem 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 = -22Solution
w = {10, -22}
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