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Simplifying -1y(2y + 4x)(y + -4) = 0 Reorder the terms: -1y(4x + 2y)(y + -4) = 0 Reorder the terms: -1y(4x + 2y)(-4 + y) = 0 Multiply (4x + 2y) * (-4 + y) -1y(4x * (-4 + y) + 2y * (-4 + y)) = 0 -1y((-4 * 4x + y * 4x) + 2y * (-4 + y)) = 0 -1y((-16x + 4xy) + 2y * (-4 + y)) = 0 -1y(-16x + 4xy + (-4 * 2y + y * 2y)) = 0 -1y(-16x + 4xy + (-8y + 2y2)) = 0 -1y(-16x + 4xy + -8y + 2y2) = 0 (-16x * -1y + 4xy * -1y + -8y * -1y + 2y2 * -1y) = 0 (16xy + -4xy2 + 8y2 + -2y3) = 0 Solving 16xy + -4xy2 + 8y2 + -2y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y2' to each side of the equation. 16xy + -4xy2 + 8y2 + -8y2 + -2y3 = 0 + -8y2 Combine like terms: 8y2 + -8y2 = 0 16xy + -4xy2 + 0 + -2y3 = 0 + -8y2 16xy + -4xy2 + -2y3 = 0 + -8y2 Remove the zero: 16xy + -4xy2 + -2y3 = -8y2 Add '2y3' to each side of the equation. 16xy + -4xy2 + -2y3 + 2y3 = -8y2 + 2y3 Combine like terms: -2y3 + 2y3 = 0 16xy + -4xy2 + 0 = -8y2 + 2y3 16xy + -4xy2 = -8y2 + 2y3 Reorder the terms: 16xy + -4xy2 + 8y2 + -2y3 = -8y2 + 8y2 + 2y3 + -2y3 Combine like terms: -8y2 + 8y2 = 0 16xy + -4xy2 + 8y2 + -2y3 = 0 + 2y3 + -2y3 16xy + -4xy2 + 8y2 + -2y3 = 2y3 + -2y3 Combine like terms: 2y3 + -2y3 = 0 16xy + -4xy2 + 8y2 + -2y3 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(8x + -2xy + 4y + -1y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(8x + -2xy + 4y + -1y2)' equal to zero and attempt to solve: Simplifying 8x + -2xy + 4y + -1y2 = 0 Solving 8x + -2xy + 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. 8x + -2xy + 4y + -4y + -1y2 = 0 + -4y Combine like terms: 4y + -4y = 0 8x + -2xy + 0 + -1y2 = 0 + -4y 8x + -2xy + -1y2 = 0 + -4y Remove the zero: 8x + -2xy + -1y2 = -4y Add 'y2' to each side of the equation. 8x + -2xy + -1y2 + y2 = -4y + y2 Combine like terms: -1y2 + y2 = 0 8x + -2xy + 0 = -4y + y2 8x + -2xy = -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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