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Simplifying 9p2r + 73pr + 70r = 0 Reorder the terms: 73pr + 9p2r + 70r = 0 Solving 73pr + 9p2r + 70r = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'r'. r(73p + 9p2 + 70) = 0 Factor a trinomial. r((9p + 10)(p + 7)) = 0Subproblem 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 '(9p + 10)' equal to zero and attempt to solve: Simplifying 9p + 10 = 0 Reorder the terms: 10 + 9p = 0 Solving 10 + 9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9p = 0 + -10 9p = 0 + -10 Combine like terms: 0 + -10 = -10 9p = -10 Divide each side by '9'. p = -1.111111111 Simplifying p = -1.111111111Subproblem 3
Set the factor '(p + 7)' equal to zero and attempt to solve: Simplifying p + 7 = 0 Reorder the terms: 7 + p = 0 Solving 7 + p = 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 + p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + p = 0 + -7 p = 0 + -7 Combine like terms: 0 + -7 = -7 p = -7 Simplifying p = -7Solution
p = {-1.111111111, -7}
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