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Simplifying 8p2 = -30 + -53p Solving 8p2 = -30 + -53p Solving for variable 'p'. Reorder the terms: 30 + 53p + 8p2 = -30 + -53p + 30 + 53p Reorder the terms: 30 + 53p + 8p2 = -30 + 30 + -53p + 53p Combine like terms: -30 + 30 = 0 30 + 53p + 8p2 = 0 + -53p + 53p 30 + 53p + 8p2 = -53p + 53p Combine like terms: -53p + 53p = 0 30 + 53p + 8p2 = 0 Factor a trinomial. (6 + p)(5 + 8p) = 0Subproblem 1
Set the factor '(6 + p)' equal to zero and attempt to solve: Simplifying 6 + p = 0 Solving 6 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + p = 0 + -6 p = 0 + -6 Combine like terms: 0 + -6 = -6 p = -6 Simplifying p = -6Subproblem 2
Set the factor '(5 + 8p)' equal to zero and attempt to solve: Simplifying 5 + 8p = 0 Solving 5 + 8p = 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 + 8p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8p = 0 + -5 8p = 0 + -5 Combine like terms: 0 + -5 = -5 8p = -5 Divide each side by '8'. p = -0.625 Simplifying p = -0.625Solution
p = {-6, -0.625}
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