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Simplifying p3 + -4p2 + -60p = 0 Reorder the terms: -60p + -4p2 + p3 = 0 Solving -60p + -4p2 + p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-60 + -4p + p2) = 0 Factor a trinomial. p((-6 + -1p)(10 + -1p)) = 0Subproblem 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 '(-6 + -1p)' equal to zero and attempt to solve: Simplifying -6 + -1p = 0 Solving -6 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1p = 0 + 6 -1p = 0 + 6 Combine like terms: 0 + 6 = 6 -1p = 6 Divide each side by '-1'. p = -6 Simplifying p = -6Subproblem 3
Set the factor '(10 + -1p)' equal to zero and attempt to solve: Simplifying 10 + -1p = 0 Solving 10 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1p = 0 + -10 -1p = 0 + -10 Combine like terms: 0 + -10 = -10 -1p = -10 Divide each side by '-1'. p = 10 Simplifying p = 10Solution
p = {0, -6, 10}
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