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Simplifying -150 + -95p = -25p2 Solving -150 + -95p = -25p2 Solving for variable 'p'. Combine like terms: -25p2 + 25p2 = 0 -150 + -95p + 25p2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-30 + -19p + 5p2) = 0 Factor a trinomial. 5((-6 + -5p)(5 + -1p)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-6 + -5p)' equal to zero and attempt to solve: Simplifying -6 + -5p = 0 Solving -6 + -5p = 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 + -5p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5p = 0 + 6 -5p = 0 + 6 Combine like terms: 0 + 6 = 6 -5p = 6 Divide each side by '-5'. p = -1.2 Simplifying p = -1.2Subproblem 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 = {-1.2, 5}
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