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Simplifying 13p + 4p2 = -10 Solving 13p + 4p2 = -10 Solving for variable 'p'. Reorder the terms: 10 + 13p + 4p2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 13p + 4p2 = 0 Factor a trinomial. (2 + p)(5 + 4p) = 0Subproblem 1
Set the factor '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 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 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2Subproblem 2
Set the factor '(5 + 4p)' equal to zero and attempt to solve: Simplifying 5 + 4p = 0 Solving 5 + 4p = 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 + 4p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4p = 0 + -5 4p = 0 + -5 Combine like terms: 0 + -5 = -5 4p = -5 Divide each side by '4'. p = -1.25 Simplifying p = -1.25Solution
p = {-2, -1.25}
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