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Simplifying -8x(4xy + 6y + -4x) = 0 Reorder the terms: -8x(-4x + 4xy + 6y) = 0 (-4x * -8x + 4xy * -8x + 6y * -8x) = 0 Reorder the terms: (-48xy + 32x2 + -32x2y) = 0 (-48xy + 32x2 + -32x2y) = 0 Solving -48xy + 32x2 + -32x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16x'. 16x(-3y + 2x + -2xy) = 0 Ignore the factor 16.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-3y + 2x + -2xy)' equal to zero and attempt to solve: Simplifying -3y + 2x + -2xy = 0 Reorder the terms: 2x + -2xy + -3y = 0 Solving 2x + -2xy + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 2x + -2xy + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 2x + -2xy + 0 = 0 + 3y 2x + -2xy = 0 + 3y Remove the zero: 2x + -2xy = 3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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