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Simplifying 35r2 + -57r = -18 Reorder the terms: -57r + 35r2 = -18 Solving -57r + 35r2 = -18 Solving for variable 'r'. Reorder the terms: 18 + -57r + 35r2 = -18 + 18 Combine like terms: -18 + 18 = 0 18 + -57r + 35r2 = 0 Factor a trinomial. (3 + -7r)(6 + -5r) = 0Subproblem 1
Set the factor '(3 + -7r)' equal to zero and attempt to solve: Simplifying 3 + -7r = 0 Solving 3 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7r = 0 + -3 -7r = 0 + -3 Combine like terms: 0 + -3 = -3 -7r = -3 Divide each side by '-7'. r = 0.4285714286 Simplifying r = 0.4285714286Subproblem 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 = {0.4285714286, 1.2}
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