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Simplifying 84 = (2w + -2) * w Reorder the terms: 84 = (-2 + 2w) * w Reorder the terms for easier multiplication: 84 = w(-2 + 2w) 84 = (-2 * w + 2w * w) 84 = (-2w + 2w2) Solving 84 = -2w + 2w2 Solving for variable 'w'. Reorder the terms: 84 + 2w + -2w2 = -2w + 2w + 2w2 + -2w2 Combine like terms: -2w + 2w = 0 84 + 2w + -2w2 = 0 + 2w2 + -2w2 84 + 2w + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 84 + 2w + -2w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(42 + w + -1w2) = 0 Factor a trinomial. 2((7 + -1w)(6 + w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -1w)' equal to zero and attempt to solve: Simplifying 7 + -1w = 0 Solving 7 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 0 + -7 -1w = 0 + -7 Combine like terms: 0 + -7 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7Subproblem 2
Set the factor '(6 + w)' equal to zero and attempt to solve: Simplifying 6 + w = 0 Solving 6 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + w = 0 + -6 w = 0 + -6 Combine like terms: 0 + -6 = -6 w = -6 Simplifying w = -6Solution
w = {7, -6}
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