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Simplifying 80 = (2w + 6) * w Reorder the terms: 80 = (6 + 2w) * w Reorder the terms for easier multiplication: 80 = w(6 + 2w) 80 = (6 * w + 2w * w) 80 = (6w + 2w2) Solving 80 = 6w + 2w2 Solving for variable 'w'. Reorder the terms: 80 + -6w + -2w2 = 6w + -6w + 2w2 + -2w2 Combine like terms: 6w + -6w = 0 80 + -6w + -2w2 = 0 + 2w2 + -2w2 80 + -6w + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 80 + -6w + -2w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(40 + -3w + -1w2) = 0 Factor a trinomial. 2((5 + -1w)(8 + w)) = 0 Ignore the factor 2.Subproblem 1
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 = 5Subproblem 2
Set the factor '(8 + w)' equal to zero and attempt to solve: Simplifying 8 + w = 0 Solving 8 + w = 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 + w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + w = 0 + -8 w = 0 + -8 Combine like terms: 0 + -8 = -8 w = -8 Simplifying w = -8Solution
w = {5, -8}
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