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Simplifying 6ay3 + 5ay2 + -4ay = 0 Reorder the terms: -4ay + 5ay2 + 6ay3 = 0 Solving -4ay + 5ay2 + 6ay3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ay'. ay(-4 + 5y + 6y2) = 0 Factor a trinomial. ay((-4 + -3y)(1 + -2y)) = 0Subproblem 1
Set the factor 'ay' equal to zero and attempt to solve: Simplifying ay = 0 Solving ay = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ay = 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 a 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 '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Add '2y' to each side of the equation. -2y + 2y = -1 + 2y Combine like terms: -2y + 2y = 0 0 = -1 + 2y Simplifying 0 = -1 + 2y 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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