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Simplifying 3p2 + 24 = -17p Reorder the terms: 24 + 3p2 = -17p Solving 24 + 3p2 = -17p Solving for variable 'p'. Reorder the terms: 24 + 17p + 3p2 = -17p + 17p Combine like terms: -17p + 17p = 0 24 + 17p + 3p2 = 0 Factor a trinomial. (3 + p)(8 + 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 '(8 + 3p)' equal to zero and attempt to solve: Simplifying 8 + 3p = 0 Solving 8 + 3p = 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 + 3p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3p = 0 + -8 3p = 0 + -8 Combine like terms: 0 + -8 = -8 3p = -8 Divide each side by '3'. p = -2.666666667 Simplifying p = -2.666666667Solution
p = {-3, -2.666666667}
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