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Simplifying 3p2 + 16p + 7 = -14 Reorder the terms: 7 + 16p + 3p2 = -14 Solving 7 + 16p + 3p2 = -14 Solving for variable 'p'. Reorder the terms: 7 + 14 + 16p + 3p2 = -14 + 14 Combine like terms: 7 + 14 = 21 21 + 16p + 3p2 = -14 + 14 Combine like terms: -14 + 14 = 0 21 + 16p + 3p2 = 0 Factor a trinomial. (3 + p)(7 + 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 '(7 + 3p)' equal to zero and attempt to solve: Simplifying 7 + 3p = 0 Solving 7 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3p = 0 + -7 3p = 0 + -7 Combine like terms: 0 + -7 = -7 3p = -7 Divide each side by '3'. p = -2.333333333 Simplifying p = -2.333333333Solution
p = {-3, -2.333333333}
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