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Simplifying 9p2 + 72p + -432 = 0 Reorder the terms: -432 + 72p + 9p2 = 0 Solving -432 + 72p + 9p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '9'. 9(-48 + 8p + p2) = 0 Factor a trinomial. 9((-12 + -1p)(4 + -1p)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(-12 + -1p)' equal to zero and attempt to solve: Simplifying -12 + -1p = 0 Solving -12 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1p = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1p = 0 + 12 -1p = 0 + 12 Combine like terms: 0 + 12 = 12 -1p = 12 Divide each side by '-1'. p = -12 Simplifying p = -12Subproblem 2
Set the factor '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Solution
p = {-12, 4}
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