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Simplifying -2p2 + 44p + -224 = 0 Reorder the terms: -224 + 44p + -2p2 = 0 Solving -224 + 44p + -2p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2'. 2(-112 + 22p + -1p2) = 0 Factor a trinomial. 2((-14 + p)(8 + -1p)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-14 + p)' equal to zero and attempt to solve: Simplifying -14 + p = 0 Solving -14 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + p = 0 + 14 Combine like terms: -14 + 14 = 0 0 + p = 0 + 14 p = 0 + 14 Combine like terms: 0 + 14 = 14 p = 14 Simplifying p = 14Subproblem 2
Set the factor '(8 + -1p)' equal to zero and attempt to solve: Simplifying 8 + -1p = 0 Solving 8 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1p = 0 + -8 -1p = 0 + -8 Combine like terms: 0 + -8 = -8 -1p = -8 Divide each side by '-1'. p = 8 Simplifying p = 8Solution
p = {14, 8}
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