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Simplifying 8p2 + 34p + 21 = 0 Reorder the terms: 21 + 34p + 8p2 = 0 Solving 21 + 34p + 8p2 = 0 Solving for variable 'p'. Factor a trinomial. (7 + 2p)(3 + 4p) = 0Subproblem 1
Set the factor '(7 + 2p)' equal to zero and attempt to solve: Simplifying 7 + 2p = 0 Solving 7 + 2p = 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 + 2p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2p = 0 + -7 2p = 0 + -7 Combine like terms: 0 + -7 = -7 2p = -7 Divide each side by '2'. p = -3.5 Simplifying p = -3.5Subproblem 2
Set the factor '(3 + 4p)' equal to zero and attempt to solve: Simplifying 3 + 4p = 0 Solving 3 + 4p = 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 + 4p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4p = 0 + -3 4p = 0 + -3 Combine like terms: 0 + -3 = -3 4p = -3 Divide each side by '4'. p = -0.75 Simplifying p = -0.75Solution
p = {-3.5, -0.75}
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