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Simplifying (2x + -2y)(2y + -8) = 0 Reorder the terms: (2x + -2y)(-8 + 2y) = 0 Multiply (2x + -2y) * (-8 + 2y) (2x * (-8 + 2y) + -2y * (-8 + 2y)) = 0 ((-8 * 2x + 2y * 2x) + -2y * (-8 + 2y)) = 0 ((-16x + 4xy) + -2y * (-8 + 2y)) = 0 (-16x + 4xy + (-8 * -2y + 2y * -2y)) = 0 (-16x + 4xy + (16y + -4y2)) = 0 (-16x + 4xy + 16y + -4y2) = 0 Solving -16x + 4xy + 16y + -4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16y' to each side of the equation. -16x + 4xy + 16y + -16y + -4y2 = 0 + -16y Combine like terms: 16y + -16y = 0 -16x + 4xy + 0 + -4y2 = 0 + -16y -16x + 4xy + -4y2 = 0 + -16y Remove the zero: -16x + 4xy + -4y2 = -16y Add '4y2' to each side of the equation. -16x + 4xy + -4y2 + 4y2 = -16y + 4y2 Combine like terms: -4y2 + 4y2 = 0 -16x + 4xy + 0 = -16y + 4y2 -16x + 4xy = -16y + 4y2 Reorder the terms: -16x + 4xy + 16y + -4y2 = -16y + 16y + 4y2 + -4y2 Combine like terms: -16y + 16y = 0 -16x + 4xy + 16y + -4y2 = 0 + 4y2 + -4y2 -16x + 4xy + 16y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -16x + 4xy + 16y + -4y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-4x + xy + 4y + -1y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-4x + xy + 4y + -1y2)' equal to zero and attempt to solve: Simplifying -4x + xy + 4y + -1y2 = 0 Solving -4x + xy + 4y + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -4x + xy + 4y + -4y + -1y2 = 0 + -4y Combine like terms: 4y + -4y = 0 -4x + xy + 0 + -1y2 = 0 + -4y -4x + xy + -1y2 = 0 + -4y Remove the zero: -4x + xy + -1y2 = -4y Add 'y2' to each side of the equation. -4x + xy + -1y2 + y2 = -4y + y2 Combine like terms: -1y2 + y2 = 0 -4x + xy + 0 = -4y + y2 -4x + xy = -4y + y2 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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