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Simplifying 7p2 + -51p + -40 = 0 Reorder the terms: -40 + -51p + 7p2 = 0 Solving -40 + -51p + 7p2 = 0 Solving for variable 'p'. Factor a trinomial. (-5 + -7p)(8 + -1p) = 0Subproblem 1
Set the factor '(-5 + -7p)' equal to zero and attempt to solve: Simplifying -5 + -7p = 0 Solving -5 + -7p = 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 + -7p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7p = 0 + 5 -7p = 0 + 5 Combine like terms: 0 + 5 = 5 -7p = 5 Divide each side by '-7'. p = -0.7142857143 Simplifying p = -0.7142857143Subproblem 2
Set the factor '(8 + -1p)' equal to zero and attempt to solve: Simplifying 8 + -1p = 0 Solving 8 + -1p = 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 + -1p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1p = 0 + -8 -1p = 0 + -8 Combine like terms: 0 + -8 = -8 -1p = -8 Divide each side by '-1'. p = 8 Simplifying p = 8Solution
p = {-0.7142857143, 8}
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