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Simplifying 4p2 + -34p + -2184 = 0 Reorder the terms: -2184 + -34p + 4p2 = 0 Solving -2184 + -34p + 4p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1092 + -17p + 2p2) = 0 Factor a trinomial. 2((-39 + -2p)(28 + -1p)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-39 + -2p)' equal to zero and attempt to solve: Simplifying -39 + -2p = 0 Solving -39 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -2p = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -2p = 0 + 39 -2p = 0 + 39 Combine like terms: 0 + 39 = 39 -2p = 39 Divide each side by '-2'. p = -19.5 Simplifying p = -19.5Subproblem 2
Set the factor '(28 + -1p)' equal to zero and attempt to solve: Simplifying 28 + -1p = 0 Solving 28 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1p = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1p = 0 + -28 -1p = 0 + -28 Combine like terms: 0 + -28 = -28 -1p = -28 Divide each side by '-1'. p = 28 Simplifying p = 28Solution
p = {-19.5, 28}
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