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Simplifying 2w + -1y(w + 2) = 5(w + 4) Reorder the terms: 2w + -1y(2 + w) = 5(w + 4) 2w + (2 * -1y + w * -1y) = 5(w + 4) Reorder the terms: 2w + (-1wy + -2y) = 5(w + 4) 2w + (-1wy + -2y) = 5(w + 4) Reorder the terms: 2w + -1wy + -2y = 5(4 + w) 2w + -1wy + -2y = (4 * 5 + w * 5) 2w + -1wy + -2y = (20 + 5w) Solving 2w + -1wy + -2y = 20 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 2w + -1wy + -5w + -2y = 20 + 5w + -5w Reorder the terms: 2w + -5w + -1wy + -2y = 20 + 5w + -5w Combine like terms: 2w + -5w = -3w -3w + -1wy + -2y = 20 + 5w + -5w Combine like terms: 5w + -5w = 0 -3w + -1wy + -2y = 20 + 0 -3w + -1wy + -2y = 20 Add '2y' to each side of the equation. -3w + -1wy + -2y + 2y = 20 + 2y Combine like terms: -2y + 2y = 0 -3w + -1wy + 0 = 20 + 2y -3w + -1wy = 20 + 2y Reorder the terms: -20 + -3w + -1wy + -2y = 20 + 2y + -20 + -2y Reorder the terms: -20 + -3w + -1wy + -2y = 20 + -20 + 2y + -2y Combine like terms: 20 + -20 = 0 -20 + -3w + -1wy + -2y = 0 + 2y + -2y -20 + -3w + -1wy + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -20 + -3w + -1wy + -2y = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(20 + 3w + wy + 2y) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(20 + 3w + wy + 2y)' equal to zero and attempt to solve: Simplifying 20 + 3w + wy + 2y = 0 Solving 20 + 3w + wy + 2y = 0 Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 3w + wy + -20 + 2y = 0 + -20 Reorder the terms: 20 + -20 + 3w + wy + 2y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 3w + wy + 2y = 0 + -20 3w + wy + 2y = 0 + -20 Combine like terms: 0 + -20 = -20 3w + wy + 2y = -20 Add '-2y' to each side of the equation. 3w + wy + 2y + -2y = -20 + -2y Combine like terms: 2y + -2y = 0 3w + wy + 0 = -20 + -2y 3w + wy = -20 + -2y 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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