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Simplifying 15P2 + -39P + 24 = 0 Reorder the terms: 24 + -39P + 15P2 = 0 Solving 24 + -39P + 15P2 = 0 Solving for variable 'P'. Factor out the Greatest Common Factor (GCF), '3'. 3(8 + -13P + 5P2) = 0 Factor a trinomial. 3((1 + -1P)(8 + -5P)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -1P)' equal to zero and attempt to solve: Simplifying 1 + -1P = 0 Solving 1 + -1P = 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 + -1P = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1P = 0 + -1 -1P = 0 + -1 Combine like terms: 0 + -1 = -1 -1P = -1 Divide each side by '-1'. P = 1 Simplifying P = 1Subproblem 2
Set the factor '(8 + -5P)' equal to zero and attempt to solve: Simplifying 8 + -5P = 0 Solving 8 + -5P = 0 Move all terms containing P to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5P = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5P = 0 + -8 -5P = 0 + -8 Combine like terms: 0 + -8 = -8 -5P = -8 Divide each side by '-5'. P = 1.6 Simplifying P = 1.6Solution
P = {1, 1.6}
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