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Simplifying 6p2 + 88p + -30 = 0 Reorder the terms: -30 + 88p + 6p2 = 0 Solving -30 + 88p + 6p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + 44p + 3p2) = 0 Factor a trinomial. 2((-15 + -1p)(1 + -3p)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + -1p)' equal to zero and attempt to solve: Simplifying -15 + -1p = 0 Solving -15 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1p = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1p = 0 + 15 -1p = 0 + 15 Combine like terms: 0 + 15 = 15 -1p = 15 Divide each side by '-1'. p = -15 Simplifying p = -15Subproblem 2
Set the factor '(1 + -3p)' equal to zero and attempt to solve: Simplifying 1 + -3p = 0 Solving 1 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3p = 0 + -1 -3p = 0 + -1 Combine like terms: 0 + -1 = -1 -3p = -1 Divide each side by '-3'. p = 0.3333333333 Simplifying p = 0.3333333333Solution
p = {-15, 0.3333333333}
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