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Simplifying 5p2 + -240 = -10p Reorder the terms: -240 + 5p2 = -10p Solving -240 + 5p2 = -10p Solving for variable 'p'. Reorder the terms: -240 + 10p + 5p2 = -10p + 10p Combine like terms: -10p + 10p = 0 -240 + 10p + 5p2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-48 + 2p + p2) = 0 Factor a trinomial. 5((-8 + -1p)(6 + -1p)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-8 + -1p)' equal to zero and attempt to solve: Simplifying -8 + -1p = 0 Solving -8 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1p = 0 + 8 -1p = 0 + 8 Combine like terms: 0 + 8 = 8 -1p = 8 Divide each side by '-1'. p = -8 Simplifying p = -8Subproblem 2
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 = 6Solution
p = {-8, 6}
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