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Simplifying 8xy(4x2y2 + -6x) = 0 Reorder the terms: 8xy(-6x + 4x2y2) = 0 (-6x * 8xy + 4x2y2 * 8xy) = 0 (-48x2y + 32x3y3) = 0 Solving -48x2y + 32x3y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16x2y'. 16x2y(-3 + 2xy2) = 0 Ignore the factor 16.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 '(-3 + 2xy2)' equal to zero and attempt to solve: Simplifying -3 + 2xy2 = 0 Solving -3 + 2xy2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2xy2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2xy2 = 0 + 3 2xy2 = 0 + 3 Combine like terms: 0 + 3 = 3 2xy2 = 3 Divide each side by '2y2'. x = 1.5y-2 Simplifying x = 1.5y-2Solution
x = {1.5y-2}
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