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Simplifying 7p2 + -27p + -40 = 0 Reorder the terms: -40 + -27p + 7p2 = 0 Solving -40 + -27p + 7p2 = 0 Solving for variable 'p'. Factor a trinomial. (-8 + -7p)(5 + -1p) = 0Subproblem 1
Set the factor '(-8 + -7p)' equal to zero and attempt to solve: Simplifying -8 + -7p = 0 Solving -8 + -7p = 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 + -7p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7p = 0 + 8 -7p = 0 + 8 Combine like terms: 0 + 8 = 8 -7p = 8 Divide each side by '-7'. p = -1.142857143 Simplifying p = -1.142857143Subproblem 2
Set the factor '(5 + -1p)' equal to zero and attempt to solve: Simplifying 5 + -1p = 0 Solving 5 + -1p = 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 + -1p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 0 + -5 -1p = 0 + -5 Combine like terms: 0 + -5 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5Solution
p = {-1.142857143, 5}
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