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Simplifying 7p2 + 14p = 168 Reorder the terms: 14p + 7p2 = 168 Solving 14p + 7p2 = 168 Solving for variable 'p'. Reorder the terms: -168 + 14p + 7p2 = 168 + -168 Combine like terms: 168 + -168 = 0 -168 + 14p + 7p2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-24 + 2p + p2) = 0 Factor a trinomial. 7((-6 + -1p)(4 + -1p)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-6 + -1p)' equal to zero and attempt to solve: Simplifying -6 + -1p = 0 Solving -6 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1p = 0 + 6 -1p = 0 + 6 Combine like terms: 0 + 6 = 6 -1p = 6 Divide each side by '-1'. p = -6 Simplifying p = -6Subproblem 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 = {-6, 4}
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