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Simplifying 7p2 + -224 = -28p Reorder the terms: -224 + 7p2 = -28p Solving -224 + 7p2 = -28p Solving for variable 'p'. Reorder the terms: -224 + 28p + 7p2 = -28p + 28p Combine like terms: -28p + 28p = 0 -224 + 28p + 7p2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-32 + 4p + p2) = 0 Factor a trinomial. 7((-8 + -1p)(4 + -1p)) = 0 Ignore the factor 7.Subproblem 1
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 = -8Subproblem 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 = {-8, 4}
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