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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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