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Simplifying w2 = w + 20 Reorder the terms: w2 = 20 + w Solving w2 = 20 + w Solving for variable 'w'. Reorder the terms: -20 + -1w + w2 = 20 + w + -20 + -1w Reorder the terms: -20 + -1w + w2 = 20 + -20 + w + -1w Combine like terms: 20 + -20 = 0 -20 + -1w + w2 = 0 + w + -1w -20 + -1w + w2 = w + -1w Combine like terms: w + -1w = 0 -20 + -1w + w2 = 0 Factor a trinomial. (-4 + -1w)(5 + -1w) = 0Subproblem 1
Set the factor '(-4 + -1w)' equal to zero and attempt to solve: Simplifying -4 + -1w = 0 Solving -4 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1w = 0 + 4 -1w = 0 + 4 Combine like terms: 0 + 4 = 4 -1w = 4 Divide each side by '-1'. w = -4 Simplifying w = -4Subproblem 2
Set the factor '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5Solution
w = {-4, 5}
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