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Simplifying -3p2 + -48p + 108 = 0 Reorder the terms: 108 + -48p + -3p2 = 0 Solving 108 + -48p + -3p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3'. 3(36 + -16p + -1p2) = 0 Factor a trinomial. 3((2 + -1p)(18 + p)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Subproblem 2
Set the factor '(18 + p)' equal to zero and attempt to solve: Simplifying 18 + p = 0 Solving 18 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + p = 0 + -18 Combine like terms: 18 + -18 = 0 0 + p = 0 + -18 p = 0 + -18 Combine like terms: 0 + -18 = -18 p = -18 Simplifying p = -18Solution
p = {2, -18}
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