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Simplifying 56p2 + -312p + 160 = 0 Reorder the terms: 160 + -312p + 56p2 = 0 Solving 160 + -312p + 56p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '8'. 8(20 + -39p + 7p2) = 0 Factor a trinomial. 8((4 + -7p)(5 + -1p)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(4 + -7p)' equal to zero and attempt to solve: Simplifying 4 + -7p = 0 Solving 4 + -7p = 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 + -7p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7p = 0 + -4 -7p = 0 + -4 Combine like terms: 0 + -4 = -4 -7p = -4 Divide each side by '-7'. p = 0.5714285714 Simplifying p = 0.5714285714Subproblem 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 = {0.5714285714, 5}
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