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Simplifying 6p2 + -9 = -15p Reorder the terms: -9 + 6p2 = -15p Solving -9 + 6p2 = -15p Solving for variable 'p'. Reorder the terms: -9 + 15p + 6p2 = -15p + 15p Combine like terms: -15p + 15p = 0 -9 + 15p + 6p2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + 5p + 2p2) = 0 Factor a trinomial. 3((-3 + -1p)(1 + -2p)) = 0 Ignore the factor 3.Subproblem 1
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 = -3Subproblem 2
Set the factor '(1 + -2p)' equal to zero and attempt to solve: Simplifying 1 + -2p = 0 Solving 1 + -2p = 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 + -2p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2p = 0 + -1 -2p = 0 + -1 Combine like terms: 0 + -1 = -1 -2p = -1 Divide each side by '-2'. p = 0.5 Simplifying p = 0.5Solution
p = {-3, 0.5}
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