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Simplifying -4xy(2x + -3y + 8) = 0 Reorder the terms: -4xy(8 + 2x + -3y) = 0 (8 * -4xy + 2x * -4xy + -3y * -4xy) = 0 Reorder the terms: (-32xy + 12xy2 + -8x2y) = 0 (-32xy + 12xy2 + -8x2y) = 0 Solving -32xy + 12xy2 + -8x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy'. 4xy(-8 + 3y + -2x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 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 '(-8 + 3y + -2x)' equal to zero and attempt to solve: Simplifying -8 + 3y + -2x = 0 Reorder the terms: -8 + -2x + 3y = 0 Solving -8 + -2x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -2x + 8 + 3y = 0 + 8 Reorder the terms: -8 + 8 + -2x + 3y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2x + 3y = 0 + 8 -2x + 3y = 0 + 8 Combine like terms: 0 + 8 = 8 -2x + 3y = 8 Add '-3y' to each side of the equation. -2x + 3y + -3y = 8 + -3y Combine like terms: 3y + -3y = 0 -2x + 0 = 8 + -3y -2x = 8 + -3y Divide each side by '-2'. x = -4 + 1.5y Simplifying x = -4 + 1.5ySolution
x = {-4 + 1.5y}
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