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Simplifying 80 = 2w + w * w Multiply w * w 80 = 2w + w2 Solving 80 = 2w + w2 Solving for variable 'w'. Reorder the terms: 80 + -2w + -1w2 = 2w + -2w + w2 + -1w2 Combine like terms: 2w + -2w = 0 80 + -2w + -1w2 = 0 + w2 + -1w2 80 + -2w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 80 + -2w + -1w2 = 0 Factor a trinomial. (8 + -1w)(10 + w) = 0Subproblem 1
Set the factor '(8 + -1w)' equal to zero and attempt to solve: Simplifying 8 + -1w = 0 Solving 8 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 0 + -8 -1w = 0 + -8 Combine like terms: 0 + -8 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8Subproblem 2
Set the factor '(10 + w)' equal to zero and attempt to solve: Simplifying 10 + w = 0 Solving 10 + w = 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 + w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + w = 0 + -10 w = 0 + -10 Combine like terms: 0 + -10 = -10 w = -10 Simplifying w = -10Solution
w = {8, -10}
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