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Simplifying (W + 5)(6w + 9) = 0 Reorder the terms: (5 + W)(6w + 9) = 0 Reorder the terms: (5 + W)(9 + 6w) = 0 Multiply (5 + W) * (9 + 6w) (5(9 + 6w) + W(9 + 6w)) = 0 ((9 * 5 + 6w * 5) + W(9 + 6w)) = 0 ((45 + 30w) + W(9 + 6w)) = 0 (45 + 30w + (9 * W + 6w * W)) = 0 (45 + 30w + (9W + 6wW)) = 0 Reorder the terms: (45 + 9W + 30w + 6wW) = 0 (45 + 9W + 30w + 6wW) = 0 Solving 45 + 9W + 30w + 6wW = 0 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + 9W + 30w + -45 + 6wW = 0 + -45 Reorder the terms: 45 + -45 + 9W + 30w + 6wW = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 9W + 30w + 6wW = 0 + -45 9W + 30w + 6wW = 0 + -45 Combine like terms: 0 + -45 = -45 9W + 30w + 6wW = -45 Add '-30w' to each side of the equation. 9W + 30w + -30w + 6wW = -45 + -30w Combine like terms: 30w + -30w = 0 9W + 0 + 6wW = -45 + -30w 9W + 6wW = -45 + -30w Reorder the terms: 45 + 9W + 30w + 6wW = -45 + -30w + 45 + 30w Reorder the terms: 45 + 9W + 30w + 6wW = -45 + 45 + -30w + 30w Combine like terms: -45 + 45 = 0 45 + 9W + 30w + 6wW = 0 + -30w + 30w 45 + 9W + 30w + 6wW = -30w + 30w Combine like terms: -30w + 30w = 0 45 + 9W + 30w + 6wW = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(15 + 3W + 10w + 2wW) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(15 + 3W + 10w + 2wW)' equal to zero and attempt to solve: Simplifying 15 + 3W + 10w + 2wW = 0 Solving 15 + 3W + 10w + 2wW = 0 Move all terms containing W to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 3W + 10w + -15 + 2wW = 0 + -15 Reorder the terms: 15 + -15 + 3W + 10w + 2wW = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 3W + 10w + 2wW = 0 + -15 3W + 10w + 2wW = 0 + -15 Combine like terms: 0 + -15 = -15 3W + 10w + 2wW = -15 Add '-10w' to each side of the equation. 3W + 10w + -10w + 2wW = -15 + -10w Combine like terms: 10w + -10w = 0 3W + 0 + 2wW = -15 + -10w 3W + 2wW = -15 + -10w The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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