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Simplifying r2 + 2rp + -35p2 = 0 Reorder the terms: 2pr + -35p2 + r2 = 0 Solving 2pr + -35p2 + r2 = 0 Solving for variable 'p'. Factor a trinomial. (-7p + -1r)(5p + -1r) = 0Subproblem 1
Set the factor '(-7p + -1r)' equal to zero and attempt to solve: Simplifying -7p + -1r = 0 Solving -7p + -1r = 0 Move all terms containing p to the left, all other terms to the right. Add 'r' to each side of the equation. -7p + -1r + r = 0 + r Combine like terms: -1r + r = 0 -7p + 0 = 0 + r -7p = 0 + r Remove the zero: -7p = r Divide each side by '-7'. p = -0.1428571429r Simplifying p = -0.1428571429rSubproblem 2
Set the factor '(5p + -1r)' equal to zero and attempt to solve: Simplifying 5p + -1r = 0 Solving 5p + -1r = 0 Move all terms containing p to the left, all other terms to the right. Add 'r' to each side of the equation. 5p + -1r + r = 0 + r Combine like terms: -1r + r = 0 5p + 0 = 0 + r 5p = 0 + r Remove the zero: 5p = r Divide each side by '5'. p = 0.2r Simplifying p = 0.2rSolution
p = {-0.1428571429r, 0.2r}
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