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Simplifying 6py3 + 13py2 + -8py = 0 Reorder the terms: -8py + 13py2 + 6py3 = 0 Solving -8py + 13py2 + 6py3 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'py'. py(-8 + 13y + 6y2) = 0 Factor a trinomial. py((-8 + -3y)(1 + -2y)) = 0Subproblem 1
Set the factor 'py' equal to zero and attempt to solve: Simplifying py = 0 Solving py = 0 Move all terms containing p to the left, all other terms to the right. Simplifying py = 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 + -3y)' equal to zero and attempt to solve: Simplifying -8 + -3y = 0 Solving -8 + -3y = 0 Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3y = 0 + 8 -3y = 0 + 8 Combine like terms: 0 + 8 = 8 -3y = 8 Add '3y' to each side of the equation. -3y + 3y = 8 + 3y Combine like terms: -3y + 3y = 0 0 = 8 + 3y Simplifying 0 = 8 + 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 p 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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