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Simplifying 80 = (4w + -4)(w) Reorder the terms: 80 = (-4 + 4w)(w) Reorder the terms for easier multiplication: 80 = w(-4 + 4w) 80 = (-4 * w + 4w * w) 80 = (-4w + 4w2) Solving 80 = -4w + 4w2 Solving for variable 'w'. Reorder the terms: 80 + 4w + -4w2 = -4w + 4w + 4w2 + -4w2 Combine like terms: -4w + 4w = 0 80 + 4w + -4w2 = 0 + 4w2 + -4w2 80 + 4w + -4w2 = 4w2 + -4w2 Combine like terms: 4w2 + -4w2 = 0 80 + 4w + -4w2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(20 + w + -1w2) = 0 Factor a trinomial. 4((5 + -1w)(4 + w)) = 0 Ignore the factor 4.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 '(4 + w)' equal to zero and attempt to solve: Simplifying 4 + w = 0 Solving 4 + w = 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 + w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + w = 0 + -4 w = 0 + -4 Combine like terms: 0 + -4 = -4 w = -4 Simplifying w = -4Solution
w = {5, -4}
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