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Simplifying 15x3y3 + 81x3y2 + -54x3y = 0 Reorder the terms: -54x3y + 81x3y2 + 15x3y3 = 0 Solving -54x3y + 81x3y2 + 15x3y3 = 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), '3x3y'. 3x3y(-18 + 27y + 5y2) = 0 Factor a trinomial. 3x3y((-6 + -1y)(3 + -5y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x3y' equal to zero and attempt to solve: Simplifying x3y = 0 Solving x3y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y = 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 '(-6 + -1y)' equal to zero and attempt to solve: Simplifying -6 + -1y = 0 Solving -6 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1y = 0 + 6 -1y = 0 + 6 Combine like terms: 0 + 6 = 6 -1y = 6 Add 'y' to each side of the equation. -1y + y = 6 + y Combine like terms: -1y + y = 0 0 = 6 + y Simplifying 0 = 6 + y 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 '(3 + -5y)' equal to zero and attempt to solve: Simplifying 3 + -5y = 0 Solving 3 + -5y = 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 + -5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = 0 + -3 -5y = 0 + -3 Combine like terms: 0 + -3 = -3 -5y = -3 Add '5y' to each side of the equation. -5y + 5y = -3 + 5y Combine like terms: -5y + 5y = 0 0 = -3 + 5y Simplifying 0 = -3 + 5y 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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