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Simplifying 10r2 + -17r + 6 = 0 Reorder the terms: 6 + -17r + 10r2 = 0 Solving 6 + -17r + 10r2 = 0 Solving for variable 'r'. Factor a trinomial. (1 + -2r)(6 + -5r) = 0Subproblem 1
Set the factor '(1 + -2r)' equal to zero and attempt to solve: Simplifying 1 + -2r = 0 Solving 1 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2r = 0 + -1 -2r = 0 + -1 Combine like terms: 0 + -1 = -1 -2r = -1 Divide each side by '-2'. r = 0.5 Simplifying r = 0.5Subproblem 2
Set the factor '(6 + -5r)' equal to zero and attempt to solve: Simplifying 6 + -5r = 0 Solving 6 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5r = 0 + -6 -5r = 0 + -6 Combine like terms: 0 + -6 = -6 -5r = -6 Divide each side by '-5'. r = 1.2 Simplifying r = 1.2Solution
r = {0.5, 1.2}
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