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Simplifying 6x4y3 + 30x4y2 + -144x4y = 0 Reorder the terms: -144x4y + 30x4y2 + 6x4y3 = 0 Solving -144x4y + 30x4y2 + 6x4y3 = 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), '6x4y'. 6x4y(-24 + 5y + y2) = 0 Factor a trinomial. 6x4y((-8 + -1y)(3 + -1y)) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x4y' equal to zero and attempt to solve: Simplifying x4y = 0 Solving x4y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4y = 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 '(-8 + -1y)' equal to zero and attempt to solve: Simplifying -8 + -1y = 0 Solving -8 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1y = 0 + 8 -1y = 0 + 8 Combine like terms: 0 + 8 = 8 -1y = 8 Add 'y' to each side of the equation. -1y + y = 8 + y Combine like terms: -1y + y = 0 0 = 8 + y Simplifying 0 = 8 + 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 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 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 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Add 'y' to each side of the equation. -1y + y = -3 + y Combine like terms: -1y + y = 0 0 = -3 + y Simplifying 0 = -3 + y 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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