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Simplifying 6p2 + 53p + 40 = 0 Reorder the terms: 40 + 53p + 6p2 = 0 Solving 40 + 53p + 6p2 = 0 Solving for variable 'p'. Factor a trinomial. (8 + p)(5 + 6p) = 0Subproblem 1
Set the factor '(8 + p)' equal to zero and attempt to solve: Simplifying 8 + p = 0 Solving 8 + p = 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 + p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + p = 0 + -8 p = 0 + -8 Combine like terms: 0 + -8 = -8 p = -8 Simplifying p = -8Subproblem 2
Set the factor '(5 + 6p)' equal to zero and attempt to solve: Simplifying 5 + 6p = 0 Solving 5 + 6p = 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 + 6p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6p = 0 + -5 6p = 0 + -5 Combine like terms: 0 + -5 = -5 6p = -5 Divide each side by '6'. p = -0.8333333333 Simplifying p = -0.8333333333Solution
p = {-8, -0.8333333333}
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