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Simplifying 36r2 + 60rp + 25p2 = 0 Reorder the terms: 60pr + 25p2 + 36r2 = 0 Solving 60pr + 25p2 + 36r2 = 0 Solving for variable 'p'. Factor a trinomial. (5p + 6r)(5p + 6r) = 0Subproblem 1
Set the factor '(5p + 6r)' equal to zero and attempt to solve: Simplifying 5p + 6r = 0 Solving 5p + 6r = 0 Move all terms containing p to the left, all other terms to the right. Add '-6r' to each side of the equation. 5p + 6r + -6r = 0 + -6r Combine like terms: 6r + -6r = 0 5p + 0 = 0 + -6r 5p = 0 + -6r Remove the zero: 5p = -6r Divide each side by '5'. p = -1.2r Simplifying p = -1.2rSubproblem 2
Set the factor '(5p + 6r)' equal to zero and attempt to solve: Simplifying 5p + 6r = 0 Solving 5p + 6r = 0 Move all terms containing p to the left, all other terms to the right. Add '-6r' to each side of the equation. 5p + 6r + -6r = 0 + -6r Combine like terms: 6r + -6r = 0 5p + 0 = 0 + -6r 5p = 0 + -6r Remove the zero: 5p = -6r Divide each side by '5'. p = -1.2r Simplifying p = -1.2rSolution
p = {-1.2r, -1.2r}
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