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