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Simplifying 4p + -120 + 12p2 = 0 Reorder the terms: -120 + 4p + 12p2 = 0 Solving -120 + 4p + 12p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4'. 4(-30 + p + 3p2) = 0 Factor a trinomial. 4((-10 + -3p)(3 + -1p)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-10 + -3p)' equal to zero and attempt to solve: Simplifying -10 + -3p = 0 Solving -10 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3p = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3p = 0 + 10 -3p = 0 + 10 Combine like terms: 0 + 10 = 10 -3p = 10 Divide each side by '-3'. p = -3.333333333 Simplifying p = -3.333333333Subproblem 2
Set the factor '(3 + -1p)' equal to zero and attempt to solve: Simplifying 3 + -1p = 0 Solving 3 + -1p = 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 + -1p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = 0 + -3 -1p = 0 + -3 Combine like terms: 0 + -3 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3Solution
p = {-3.333333333, 3}
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