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Simplifying (W + 5)(2w + -4) = 0 Reorder the terms: (5 + W)(2w + -4) = 0 Reorder the terms: (5 + W)(-4 + 2w) = 0 Multiply (5 + W) * (-4 + 2w) (5(-4 + 2w) + W(-4 + 2w)) = 0 ((-4 * 5 + 2w * 5) + W(-4 + 2w)) = 0 ((-20 + 10w) + W(-4 + 2w)) = 0 (-20 + 10w + (-4 * W + 2w * W)) = 0 (-20 + 10w + (-4W + 2wW)) = 0 Reorder the terms: (-20 + -4W + 10w + 2wW) = 0 (-20 + -4W + 10w + 2wW) = 0 Solving -20 + -4W + 10w + 2wW = 0 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -4W + 10w + 20 + 2wW = 0 + 20 Reorder the terms: -20 + 20 + -4W + 10w + 2wW = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -4W + 10w + 2wW = 0 + 20 -4W + 10w + 2wW = 0 + 20 Combine like terms: 0 + 20 = 20 -4W + 10w + 2wW = 20 Add '-10w' to each side of the equation. -4W + 10w + -10w + 2wW = 20 + -10w Combine like terms: 10w + -10w = 0 -4W + 0 + 2wW = 20 + -10w -4W + 2wW = 20 + -10w Reorder the terms: -20 + -4W + 10w + 2wW = 20 + -10w + -20 + 10w Reorder the terms: -20 + -4W + 10w + 2wW = 20 + -20 + -10w + 10w Combine like terms: 20 + -20 = 0 -20 + -4W + 10w + 2wW = 0 + -10w + 10w -20 + -4W + 10w + 2wW = -10w + 10w Combine like terms: -10w + 10w = 0 -20 + -4W + 10w + 2wW = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + -2W + 5w + wW) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + -2W + 5w + wW)' equal to zero and attempt to solve: Simplifying -10 + -2W + 5w + wW = 0 Solving -10 + -2W + 5w + wW = 0 Move all terms containing W to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -2W + 5w + 10 + wW = 0 + 10 Reorder the terms: -10 + 10 + -2W + 5w + wW = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -2W + 5w + wW = 0 + 10 -2W + 5w + wW = 0 + 10 Combine like terms: 0 + 10 = 10 -2W + 5w + wW = 10 Add '-5w' to each side of the equation. -2W + 5w + -5w + wW = 10 + -5w Combine like terms: 5w + -5w = 0 -2W + 0 + wW = 10 + -5w -2W + wW = 10 + -5w 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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