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Simplifying (5p2 + 5p + -150) = 0 Reorder the terms: (-150 + 5p + 5p2) = 0 Remove parenthesis around (-150 + 5p + 5p2) -150 + 5p + 5p2 = 0 Solving -150 + 5p + 5p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5'. 5(-30 + p + p2) = 0 Factor a trinomial. 5((-6 + -1p)(5 + -1p)) = 0 Ignore the factor 5.Subproblem 1
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 = -6Subproblem 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 = {-6, 5}
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