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Simplifying 5p2 + 60p + -140 = 0 Reorder the terms: -140 + 60p + 5p2 = 0 Solving -140 + 60p + 5p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5'. 5(-28 + 12p + p2) = 0 Factor a trinomial. 5((-14 + -1p)(2 + -1p)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-14 + -1p)' equal to zero and attempt to solve: Simplifying -14 + -1p = 0 Solving -14 + -1p = 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 + -1p = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1p = 0 + 14 -1p = 0 + 14 Combine like terms: 0 + 14 = 14 -1p = 14 Divide each side by '-1'. p = -14 Simplifying p = -14Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Solution
p = {-14, 2}
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