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Simplifying 2(4x + -2)(y + -1) = 0 Reorder the terms: 2(-2 + 4x)(y + -1) = 0 Reorder the terms: 2(-2 + 4x)(-1 + y) = 0 Multiply (-2 + 4x) * (-1 + y) 2(-2(-1 + y) + 4x * (-1 + y)) = 0 2((-1 * -2 + y * -2) + 4x * (-1 + y)) = 0 2((2 + -2y) + 4x * (-1 + y)) = 0 2(2 + -2y + (-1 * 4x + y * 4x)) = 0 2(2 + -2y + (-4x + 4xy)) = 0 Reorder the terms: 2(2 + -4x + 4xy + -2y) = 0 2(2 + -4x + 4xy + -2y) = 0 (2 * 2 + -4x * 2 + 4xy * 2 + -2y * 2) = 0 (4 + -8x + 8xy + -4y) = 0 Solving 4 + -8x + 8xy + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -8x + 8xy + -4 + -4y = 0 + -4 Reorder the terms: 4 + -4 + -8x + 8xy + -4y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -8x + 8xy + -4y = 0 + -4 -8x + 8xy + -4y = 0 + -4 Combine like terms: 0 + -4 = -4 -8x + 8xy + -4y = -4 Add '4y' to each side of the equation. -8x + 8xy + -4y + 4y = -4 + 4y Combine like terms: -4y + 4y = 0 -8x + 8xy + 0 = -4 + 4y -8x + 8xy = -4 + 4y Reorder the terms: 4 + -8x + 8xy + -4y = -4 + 4y + 4 + -4y Reorder the terms: 4 + -8x + 8xy + -4y = -4 + 4 + 4y + -4y Combine like terms: -4 + 4 = 0 4 + -8x + 8xy + -4y = 0 + 4y + -4y 4 + -8x + 8xy + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 4 + -8x + 8xy + -4y = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + -2x + 2xy + -1y) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -2x + 2xy + -1y)' equal to zero and attempt to solve: Simplifying 1 + -2x + 2xy + -1y = 0 Solving 1 + -2x + 2xy + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2x + 2xy + -1 + -1y = 0 + -1 Reorder the terms: 1 + -1 + -2x + 2xy + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x + 2xy + -1y = 0 + -1 -2x + 2xy + -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -2x + 2xy + -1y = -1 Add 'y' to each side of the equation. -2x + 2xy + -1y + y = -1 + y Combine like terms: -1y + y = 0 -2x + 2xy + 0 = -1 + y -2x + 2xy = -1 + 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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