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Simplifying 3p2 = -14p + -15 Reorder the terms: 3p2 = -15 + -14p Solving 3p2 = -15 + -14p Solving for variable 'p'. Reorder the terms: 15 + 14p + 3p2 = -15 + -14p + 15 + 14p Reorder the terms: 15 + 14p + 3p2 = -15 + 15 + -14p + 14p Combine like terms: -15 + 15 = 0 15 + 14p + 3p2 = 0 + -14p + 14p 15 + 14p + 3p2 = -14p + 14p Combine like terms: -14p + 14p = 0 15 + 14p + 3p2 = 0 Factor a trinomial. (3 + p)(5 + 3p) = 0Subproblem 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 '(5 + 3p)' equal to zero and attempt to solve: Simplifying 5 + 3p = 0 Solving 5 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3p = 0 + -5 3p = 0 + -5 Combine like terms: 0 + -5 = -5 3p = -5 Divide each side by '3'. p = -1.666666667 Simplifying p = -1.666666667Solution
p = {-3, -1.666666667}
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