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Simplifying -8p2r + -71pr + -56r = 0 Reorder the terms: -71pr + -8p2r + -56r = 0 Solving -71pr + -8p2r + -56r = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '-1r'. -1r(71p + 8p2 + 56) = 0 Factor a trinomial. -1r((8p + 7)(p + 8)) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing p to the left, all other terms to the right. Add '-1r' to each side of the equation. r + -1r = 0 + -1r Remove the zero: 0 = -1r Simplifying 0 = -1r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(8p + 7)' equal to zero and attempt to solve: Simplifying 8p + 7 = 0 Reorder the terms: 7 + 8p = 0 Solving 7 + 8p = 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 + 8p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8p = 0 + -7 8p = 0 + -7 Combine like terms: 0 + -7 = -7 8p = -7 Divide each side by '8'. p = -0.875 Simplifying p = -0.875Subproblem 3
Set the factor '(p + 8)' equal to zero and attempt to solve: Simplifying p + 8 = 0 Reorder the terms: 8 + p = 0 Solving 8 + p = 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 + p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + p = 0 + -8 p = 0 + -8 Combine like terms: 0 + -8 = -8 p = -8 Simplifying p = -8Solution
p = {-0.875, -8}
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