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Simplifying 24 + 29p = -7p2 Solving 24 + 29p = -7p2 Solving for variable 'p'. Combine like terms: -7p2 + 7p2 = 0 24 + 29p + 7p2 = 0 Factor a trinomial. (3 + p)(8 + 7p) = 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 + 7p)' equal to zero and attempt to solve: Simplifying 8 + 7p = 0 Solving 8 + 7p = 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 + 7p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7p = 0 + -8 7p = 0 + -8 Combine like terms: 0 + -8 = -8 7p = -8 Divide each side by '7'. p = -1.142857143 Simplifying p = -1.142857143Solution
p = {-3, -1.142857143}
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