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Simplifying p(15p + 8) = 12 Reorder the terms: p(8 + 15p) = 12 (8 * p + 15p * p) = 12 (8p + 15p2) = 12 Solving 8p + 15p2 = 12 Solving for variable 'p'. Reorder the terms: -12 + 8p + 15p2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 8p + 15p2 = 0 Factor a trinomial. (-6 + -5p)(2 + -3p) = 0Subproblem 1
Set the factor '(-6 + -5p)' equal to zero and attempt to solve: Simplifying -6 + -5p = 0 Solving -6 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5p = 0 + 6 -5p = 0 + 6 Combine like terms: 0 + 6 = 6 -5p = 6 Divide each side by '-5'. p = -1.2 Simplifying p = -1.2Subproblem 2
Set the factor '(2 + -3p)' equal to zero and attempt to solve: Simplifying 2 + -3p = 0 Solving 2 + -3p = 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 + -3p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3p = 0 + -2 -3p = 0 + -2 Combine like terms: 0 + -2 = -2 -3p = -2 Divide each side by '-3'. p = 0.6666666667 Simplifying p = 0.6666666667Solution
p = {-1.2, 0.6666666667}
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