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Simplifying -2(w + 5)(-1w + 6) = 0 Reorder the terms: -2(5 + w)(-1w + 6) = 0 Reorder the terms: -2(5 + w)(6 + -1w) = 0 Multiply (5 + w) * (6 + -1w) -2(5(6 + -1w) + w(6 + -1w)) = 0 -2((6 * 5 + -1w * 5) + w(6 + -1w)) = 0 -2((30 + -5w) + w(6 + -1w)) = 0 -2(30 + -5w + (6 * w + -1w * w)) = 0 -2(30 + -5w + (6w + -1w2)) = 0 Combine like terms: -5w + 6w = 1w -2(30 + 1w + -1w2) = 0 (30 * -2 + 1w * -2 + -1w2 * -2) = 0 (-60 + -2w + 2w2) = 0 Solving -60 + -2w + 2w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(-30 + -1w + w2) = 0 Factor a trinomial. 2((-5 + -1w)(6 + -1w)) = 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 '(6 + -1w)' equal to zero and attempt to solve: Simplifying 6 + -1w = 0 Solving 6 + -1w = 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 + -1w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = 0 + -6 -1w = 0 + -6 Combine like terms: 0 + -6 = -6 -1w = -6 Divide each side by '-1'. w = 6 Simplifying w = 6Solution
w = {-5, 6}
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