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Simplifying 50p2 + 35p + -60 = 0 Reorder the terms: -60 + 35p + 50p2 = 0 Solving -60 + 35p + 50p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5'. 5(-12 + 7p + 10p2) = 0 Factor a trinomial. 5((-3 + -2p)(4 + -5p)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3 + -2p)' equal to zero and attempt to solve: Simplifying -3 + -2p = 0 Solving -3 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2p = 0 + 3 -2p = 0 + 3 Combine like terms: 0 + 3 = 3 -2p = 3 Divide each side by '-2'. p = -1.5 Simplifying p = -1.5Subproblem 2
Set the factor '(4 + -5p)' equal to zero and attempt to solve: Simplifying 4 + -5p = 0 Solving 4 + -5p = 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 + -5p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5p = 0 + -4 -5p = 0 + -4 Combine like terms: 0 + -4 = -4 -5p = -4 Divide each side by '-5'. p = 0.8 Simplifying p = 0.8Solution
p = {-1.5, 0.8}
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