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Simplifying -3p2 + 15p + -18 = 0 Reorder the terms: -18 + 15p + -3p2 = 0 Solving -18 + 15p + -3p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3'. 3(-6 + 5p + -1p2) = 0 Factor a trinomial. 3((-3 + p)(2 + -1p)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + p)' equal to zero and attempt to solve: Simplifying -3 + p = 0 Solving -3 + p = 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 + p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + p = 0 + 3 p = 0 + 3 Combine like terms: 0 + 3 = 3 p = 3 Simplifying p = 3Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Solution
p = {3, 2}
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