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Simplifying 6r2 + -11rp + 5p2 = 0 Reorder the terms: -11pr + 5p2 + 6r2 = 0 Solving -11pr + 5p2 + 6r2 = 0 Solving for variable 'p'. Factor a trinomial. (5p + -6r)(p + -1r) = 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 '(p + -1r)' equal to zero and attempt to solve: Simplifying p + -1r = 0 Solving p + -1r = 0 Move all terms containing p to the left, all other terms to the right. Add 'r' to each side of the equation. p + -1r + r = 0 + r Combine like terms: -1r + r = 0 p + 0 = 0 + r p = 0 + r Remove the zero: p = r Simplifying p = rSolution
p = {1.2r, r}
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