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Simplifying (5 + p)(5 + -8p) = 0 Multiply (5 + p) * (5 + -8p) (5(5 + -8p) + p(5 + -8p)) = 0 ((5 * 5 + -8p * 5) + p(5 + -8p)) = 0 ((25 + -40p) + p(5 + -8p)) = 0 (25 + -40p + (5 * p + -8p * p)) = 0 (25 + -40p + (5p + -8p2)) = 0 Combine like terms: -40p + 5p = -35p (25 + -35p + -8p2) = 0 Solving 25 + -35p + -8p2 = 0 Solving for variable 'p'. Factor a trinomial. (5 + -8p)(5 + p) = 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 '(5 + p)' equal to zero and attempt to solve: Simplifying 5 + p = 0 Solving 5 + p = 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 + p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + p = 0 + -5 p = 0 + -5 Combine like terms: 0 + -5 = -5 p = -5 Simplifying p = -5Solution
p = {0.625, -5}
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