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Simplifying 4p2 + 8p = 140 Reorder the terms: 8p + 4p2 = 140 Solving 8p + 4p2 = 140 Solving for variable 'p'. Reorder the terms: -140 + 8p + 4p2 = 140 + -140 Combine like terms: 140 + -140 = 0 -140 + 8p + 4p2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-35 + 2p + p2) = 0 Factor a trinomial. 4((-7 + -1p)(5 + -1p)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + -1p)' equal to zero and attempt to solve: Simplifying -7 + -1p = 0 Solving -7 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1p = 0 + 7 -1p = 0 + 7 Combine like terms: 0 + 7 = 7 -1p = 7 Divide each side by '-1'. p = -7 Simplifying p = -7Subproblem 2
Set the factor '(5 + -1p)' equal to zero and attempt to solve: Simplifying 5 + -1p = 0 Solving 5 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 0 + -5 -1p = 0 + -5 Combine like terms: 0 + -5 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5Solution
p = {-7, 5}
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