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Simplifying 35r2 + 61r + 8 = 0 Reorder the terms: 8 + 61r + 35r2 = 0 Solving 8 + 61r + 35r2 = 0 Solving for variable 'r'. Factor a trinomial. (8 + 5r)(1 + 7r) = 0Subproblem 1
Set the factor '(8 + 5r)' equal to zero and attempt to solve: Simplifying 8 + 5r = 0 Solving 8 + 5r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5r = 0 + -8 5r = 0 + -8 Combine like terms: 0 + -8 = -8 5r = -8 Divide each side by '5'. r = -1.6 Simplifying r = -1.6Subproblem 2
Set the factor '(1 + 7r)' equal to zero and attempt to solve: Simplifying 1 + 7r = 0 Solving 1 + 7r = 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 + 7r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7r = 0 + -1 7r = 0 + -1 Combine like terms: 0 + -1 = -1 7r = -1 Divide each side by '7'. r = -0.1428571429 Simplifying r = -0.1428571429Solution
r = {-1.6, -0.1428571429}
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