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Simplifying 24p2 + 53p + 28 = 0 Reorder the terms: 28 + 53p + 24p2 = 0 Solving 28 + 53p + 24p2 = 0 Solving for variable 'p'. Factor a trinomial. (4 + 3p)(7 + 8p) = 0Subproblem 1
Set the factor '(4 + 3p)' equal to zero and attempt to solve: Simplifying 4 + 3p = 0 Solving 4 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3p = 0 + -4 3p = 0 + -4 Combine like terms: 0 + -4 = -4 3p = -4 Divide each side by '3'. p = -1.333333333 Simplifying p = -1.333333333Subproblem 2
Set the factor '(7 + 8p)' equal to zero and attempt to solve: Simplifying 7 + 8p = 0 Solving 7 + 8p = 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 + 8p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8p = 0 + -7 8p = 0 + -7 Combine like terms: 0 + -7 = -7 8p = -7 Divide each side by '8'. p = -0.875 Simplifying p = -0.875Solution
p = {-1.333333333, -0.875}
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