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Simplifying -52p2 + 80p3 + -60p = 0 Reorder the terms: -60p + -52p2 + 80p3 = 0 Solving -60p + -52p2 + 80p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4p'. 4p(-15 + -13p + 20p2) = 0 Factor a trinomial. 4p((-3 + -5p)(5 + -4p)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(-3 + -5p)' equal to zero and attempt to solve: Simplifying -3 + -5p = 0 Solving -3 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5p = 0 + 3 -5p = 0 + 3 Combine like terms: 0 + 3 = 3 -5p = 3 Divide each side by '-5'. p = -0.6 Simplifying p = -0.6Subproblem 3
Set the factor '(5 + -4p)' equal to zero and attempt to solve: Simplifying 5 + -4p = 0 Solving 5 + -4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4p = 0 + -5 -4p = 0 + -5 Combine like terms: 0 + -5 = -5 -4p = -5 Divide each side by '-4'. p = 1.25 Simplifying p = 1.25Solution
p = {0, -0.6, 1.25}
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