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Simplifying (-2x2y)(-3x3y2)(3x + -2y) = 0 Remove parenthesis around (-2x2y) -2x2y(-3x3y2)(3x + -2y) = 0 Remove parenthesis around (-3x3y2) -2x2y * -3x3y2(3x + -2y) = 0 Reorder the terms for easier multiplication: -2 * -3x2y * x3y2(3x + -2y) = 0 Multiply -2 * -3 6x2y * x3y2(3x + -2y) = 0 Multiply x2y * x3y2 6x5y3(3x + -2y) = 0 (3x * 6x5y3 + -2y * 6x5y3) = 0 Reorder the terms: (-12x5y4 + 18x6y3) = 0 (-12x5y4 + 18x6y3) = 0 Solving -12x5y4 + 18x6y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x5y3'. 6x5y3(-2y + 3x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x5y3' equal to zero and attempt to solve: Simplifying x5y3 = 0 Solving x5y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5y3 = 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 '(-2y + 3x)' equal to zero and attempt to solve: Simplifying -2y + 3x = 0 Reorder the terms: 3x + -2y = 0 Solving 3x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 3x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 3x + 0 = 0 + 2y 3x = 0 + 2y Remove the zero: 3x = 2y Divide each side by '3'. x = 0.6666666667y Simplifying x = 0.6666666667ySolution
x = {0.6666666667y}
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