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Simplifying 8p2 + 83p + 30 = 0 Reorder the terms: 30 + 83p + 8p2 = 0 Solving 30 + 83p + 8p2 = 0 Solving for variable 'p'. Factor a trinomial. (10 + p)(3 + 8p) = 0Subproblem 1
Set the factor '(10 + p)' equal to zero and attempt to solve: Simplifying 10 + p = 0 Solving 10 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + p = 0 + -10 p = 0 + -10 Combine like terms: 0 + -10 = -10 p = -10 Simplifying p = -10Subproblem 2
Set the factor '(3 + 8p)' equal to zero and attempt to solve: Simplifying 3 + 8p = 0 Solving 3 + 8p = 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 + 8p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8p = 0 + -3 8p = 0 + -3 Combine like terms: 0 + -3 = -3 8p = -3 Divide each side by '8'. p = -0.375 Simplifying p = -0.375Solution
p = {-10, -0.375}
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