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Simplifying 56 = (2w + 6) * w Reorder the terms: 56 = (6 + 2w) * w Reorder the terms for easier multiplication: 56 = w(6 + 2w) 56 = (6 * w + 2w * w) 56 = (6w + 2w2) Solving 56 = 6w + 2w2 Solving for variable 'w'. Reorder the terms: 56 + -6w + -2w2 = 6w + -6w + 2w2 + -2w2 Combine like terms: 6w + -6w = 0 56 + -6w + -2w2 = 0 + 2w2 + -2w2 56 + -6w + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 56 + -6w + -2w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(28 + -3w + -1w2) = 0 Factor a trinomial. 2((4 + -1w)(7 + w)) = 0 Ignore the factor 2.Subproblem 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 '(7 + w)' equal to zero and attempt to solve: Simplifying 7 + w = 0 Solving 7 + w = 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 + w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + w = 0 + -7 w = 0 + -7 Combine like terms: 0 + -7 = -7 w = -7 Simplifying w = -7Solution
w = {4, -7}
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