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Simplifying (W + -3)(6w + 4) = 20w Reorder the terms: (-3 + W)(6w + 4) = 20w Reorder the terms: (-3 + W)(4 + 6w) = 20w Multiply (-3 + W) * (4 + 6w) (-3(4 + 6w) + W(4 + 6w)) = 20w ((4 * -3 + 6w * -3) + W(4 + 6w)) = 20w ((-12 + -18w) + W(4 + 6w)) = 20w (-12 + -18w + (4 * W + 6w * W)) = 20w (-12 + -18w + (4W + 6wW)) = 20w Reorder the terms: (-12 + 4W + -18w + 6wW) = 20w (-12 + 4W + -18w + 6wW) = 20w Solving -12 + 4W + -18w + 6wW = 20w Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 4W + -18w + 12 + 6wW = 12 + 20w Reorder the terms: -12 + 12 + 4W + -18w + 6wW = 12 + 20w Combine like terms: -12 + 12 = 0 0 + 4W + -18w + 6wW = 12 + 20w 4W + -18w + 6wW = 12 + 20w Add '18w' to each side of the equation. 4W + -18w + 18w + 6wW = 12 + 20w + 18w Combine like terms: -18w + 18w = 0 4W + 0 + 6wW = 12 + 20w + 18w 4W + 6wW = 12 + 20w + 18w Combine like terms: 20w + 18w = 38w 4W + 6wW = 12 + 38w Reorder the terms: -12 + 4W + -38w + 6wW = 12 + 38w + -12 + -38w Reorder the terms: -12 + 4W + -38w + 6wW = 12 + -12 + 38w + -38w Combine like terms: 12 + -12 = 0 -12 + 4W + -38w + 6wW = 0 + 38w + -38w -12 + 4W + -38w + 6wW = 38w + -38w Combine like terms: 38w + -38w = 0 -12 + 4W + -38w + 6wW = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 2W + -19w + 3wW) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + 2W + -19w + 3wW)' equal to zero and attempt to solve: Simplifying -6 + 2W + -19w + 3wW = 0 Solving -6 + 2W + -19w + 3wW = 0 Move all terms containing W to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2W + -19w + 6 + 3wW = 0 + 6 Reorder the terms: -6 + 6 + 2W + -19w + 3wW = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2W + -19w + 3wW = 0 + 6 2W + -19w + 3wW = 0 + 6 Combine like terms: 0 + 6 = 6 2W + -19w + 3wW = 6 Add '19w' to each side of the equation. 2W + -19w + 19w + 3wW = 6 + 19w Combine like terms: -19w + 19w = 0 2W + 0 + 3wW = 6 + 19w 2W + 3wW = 6 + 19w 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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