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Simplifying 18r2 + 24rp + 8p2 = 0 Reorder the terms: 24pr + 8p2 + 18r2 = 0 Solving 24pr + 8p2 + 18r2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2'. 2(12pr + 4p2 + 9r2) = 0 Factor a trinomial. 2((2p + 3r)(2p + 3r)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2p + 3r)' equal to zero and attempt to solve: Simplifying 2p + 3r = 0 Solving 2p + 3r = 0 Move all terms containing p to the left, all other terms to the right. Add '-3r' to each side of the equation. 2p + 3r + -3r = 0 + -3r Combine like terms: 3r + -3r = 0 2p + 0 = 0 + -3r 2p = 0 + -3r Remove the zero: 2p = -3r Divide each side by '2'. p = -1.5r Simplifying p = -1.5rSubproblem 2
Set the factor '(2p + 3r)' equal to zero and attempt to solve: Simplifying 2p + 3r = 0 Solving 2p + 3r = 0 Move all terms containing p to the left, all other terms to the right. Add '-3r' to each side of the equation. 2p + 3r + -3r = 0 + -3r Combine like terms: 3r + -3r = 0 2p + 0 = 0 + -3r 2p = 0 + -3r Remove the zero: 2p = -3r Divide each side by '2'. p = -1.5r Simplifying p = -1.5rSolution
p = {-1.5r, -1.5r}
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