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Simplifying (-3p + 7)(-8p + -1) = 0 Reorder the terms: (7 + -3p)(-8p + -1) = 0 Reorder the terms: (7 + -3p)(-1 + -8p) = 0 Multiply (7 + -3p) * (-1 + -8p) (7(-1 + -8p) + -3p * (-1 + -8p)) = 0 ((-1 * 7 + -8p * 7) + -3p * (-1 + -8p)) = 0 ((-7 + -56p) + -3p * (-1 + -8p)) = 0 (-7 + -56p + (-1 * -3p + -8p * -3p)) = 0 (-7 + -56p + (3p + 24p2)) = 0 Combine like terms: -56p + 3p = -53p (-7 + -53p + 24p2) = 0 Solving -7 + -53p + 24p2 = 0 Solving for variable 'p'. Factor a trinomial. (-1 + -8p)(7 + -3p) = 0Subproblem 1
Set the factor '(-1 + -8p)' equal to zero and attempt to solve: Simplifying -1 + -8p = 0 Solving -1 + -8p = 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 + -8p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8p = 0 + 1 -8p = 0 + 1 Combine like terms: 0 + 1 = 1 -8p = 1 Divide each side by '-8'. p = -0.125 Simplifying p = -0.125Subproblem 2
Set the factor '(7 + -3p)' equal to zero and attempt to solve: Simplifying 7 + -3p = 0 Solving 7 + -3p = 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 + -3p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3p = 0 + -7 -3p = 0 + -7 Combine like terms: 0 + -7 = -7 -3p = -7 Divide each side by '-3'. p = 2.333333333 Simplifying p = 2.333333333Solution
p = {-0.125, 2.333333333}
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