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Simplifying (8p + 5)(7p + -1) = 0 Reorder the terms: (5 + 8p)(7p + -1) = 0 Reorder the terms: (5 + 8p)(-1 + 7p) = 0 Multiply (5 + 8p) * (-1 + 7p) (5(-1 + 7p) + 8p * (-1 + 7p)) = 0 ((-1 * 5 + 7p * 5) + 8p * (-1 + 7p)) = 0 ((-5 + 35p) + 8p * (-1 + 7p)) = 0 (-5 + 35p + (-1 * 8p + 7p * 8p)) = 0 (-5 + 35p + (-8p + 56p2)) = 0 Combine like terms: 35p + -8p = 27p (-5 + 27p + 56p2) = 0 Solving -5 + 27p + 56p2 = 0 Solving for variable 'p'. Factor a trinomial. (-5 + -8p)(1 + -7p) = 0Subproblem 1
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 = -0.625Subproblem 2
Set the factor '(1 + -7p)' equal to zero and attempt to solve: Simplifying 1 + -7p = 0 Solving 1 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7p = 0 + -1 -7p = 0 + -1 Combine like terms: 0 + -1 = -1 -7p = -1 Divide each side by '-7'. p = 0.1428571429 Simplifying p = 0.1428571429Solution
p = {-0.625, 0.1428571429}
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