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Simplifying 5p2 + 47p + 56 = 0 Reorder the terms: 56 + 47p + 5p2 = 0 Solving 56 + 47p + 5p2 = 0 Solving for variable 'p'. Factor a trinomial. (8 + p)(7 + 5p) = 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 '(7 + 5p)' equal to zero and attempt to solve: Simplifying 7 + 5p = 0 Solving 7 + 5p = 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 + 5p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5p = 0 + -7 5p = 0 + -7 Combine like terms: 0 + -7 = -7 5p = -7 Divide each side by '5'. p = -1.4 Simplifying p = -1.4Solution
p = {-8, -1.4}
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