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Simplifying 36x2y3 + -12x2y2 + -80x2y = 0 Reorder the terms: -80x2y + -12x2y2 + 36x2y3 = 0 Solving -80x2y + -12x2y2 + 36x2y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '4x2y'. 4x2y(-20 + -3y + 9y2) = 0 Factor a trinomial. 4x2y((-4 + -3y)(5 + -3y)) = 0 Ignore the factor 4.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 '(-4 + -3y)' equal to zero and attempt to solve: Simplifying -4 + -3y = 0 Solving -4 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3y = 0 + 4 -3y = 0 + 4 Combine like terms: 0 + 4 = 4 -3y = 4 Add '3y' to each side of the equation. -3y + 3y = 4 + 3y Combine like terms: -3y + 3y = 0 0 = 4 + 3y Simplifying 0 = 4 + 3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Add '3y' to each side of the equation. -3y + 3y = -5 + 3y Combine like terms: -3y + 3y = 0 0 = -5 + 3y Simplifying 0 = -5 + 3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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