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Simplifying 25r2 + 60rp + 36p2 = 0 Reorder the terms: 60pr + 36p2 + 25r2 = 0 Solving 60pr + 36p2 + 25r2 = 0 Solving for variable 'p'. Factor a trinomial. (6p + 5r)(6p + 5r) = 0Subproblem 1
Set the factor '(6p + 5r)' equal to zero and attempt to solve: Simplifying 6p + 5r = 0 Solving 6p + 5r = 0 Move all terms containing p to the left, all other terms to the right. Add '-5r' to each side of the equation. 6p + 5r + -5r = 0 + -5r Combine like terms: 5r + -5r = 0 6p + 0 = 0 + -5r 6p = 0 + -5r Remove the zero: 6p = -5r Divide each side by '6'. p = -0.8333333333r Simplifying p = -0.8333333333rSubproblem 2
Set the factor '(6p + 5r)' equal to zero and attempt to solve: Simplifying 6p + 5r = 0 Solving 6p + 5r = 0 Move all terms containing p to the left, all other terms to the right. Add '-5r' to each side of the equation. 6p + 5r + -5r = 0 + -5r Combine like terms: 5r + -5r = 0 6p + 0 = 0 + -5r 6p = 0 + -5r Remove the zero: 6p = -5r Divide each side by '6'. p = -0.8333333333r Simplifying p = -0.8333333333rSolution
p = {-0.8333333333r, -0.8333333333r}
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