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Simplifying 2r2 + 3r + -65 = 0 Reorder the terms: -65 + 3r + 2r2 = 0 Solving -65 + 3r + 2r2 = 0 Solving for variable 'r'. Factor a trinomial. (-13 + -2r)(5 + -1r) = 0Subproblem 1
Set the factor '(-13 + -2r)' equal to zero and attempt to solve: Simplifying -13 + -2r = 0 Solving -13 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2r = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2r = 0 + 13 -2r = 0 + 13 Combine like terms: 0 + 13 = 13 -2r = 13 Divide each side by '-2'. r = -6.5 Simplifying r = -6.5Subproblem 2
Set the factor '(5 + -1r)' equal to zero and attempt to solve: Simplifying 5 + -1r = 0 Solving 5 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1r = 0 + -5 -1r = 0 + -5 Combine like terms: 0 + -5 = -5 -1r = -5 Divide each side by '-1'. r = 5 Simplifying r = 5Solution
r = {-6.5, 5}
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