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Simplifying 15p2 = -34p + -16 Reorder the terms: 15p2 = -16 + -34p Solving 15p2 = -16 + -34p Solving for variable 'p'. Reorder the terms: 16 + 34p + 15p2 = -16 + -34p + 16 + 34p Reorder the terms: 16 + 34p + 15p2 = -16 + 16 + -34p + 34p Combine like terms: -16 + 16 = 0 16 + 34p + 15p2 = 0 + -34p + 34p 16 + 34p + 15p2 = -34p + 34p Combine like terms: -34p + 34p = 0 16 + 34p + 15p2 = 0 Factor a trinomial. (8 + 5p)(2 + 3p) = 0Subproblem 1
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 = -1.6Subproblem 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 = {-1.6, -0.6666666667}
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