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Simplifying 3p + -156 + 9p2 = 0 Reorder the terms: -156 + 3p + 9p2 = 0 Solving -156 + 3p + 9p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3'. 3(-52 + p + 3p2) = 0 Factor a trinomial. 3((-13 + -3p)(4 + -1p)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-13 + -3p)' equal to zero and attempt to solve: Simplifying -13 + -3p = 0 Solving -13 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -3p = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -3p = 0 + 13 -3p = 0 + 13 Combine like terms: 0 + 13 = 13 -3p = 13 Divide each side by '-3'. p = -4.333333333 Simplifying p = -4.333333333Subproblem 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 = {-4.333333333, 4}
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