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Simplifying 35r2 = -12 + -52r Solving 35r2 = -12 + -52r Solving for variable 'r'. Reorder the terms: 12 + 52r + 35r2 = -12 + -52r + 12 + 52r Reorder the terms: 12 + 52r + 35r2 = -12 + 12 + -52r + 52r Combine like terms: -12 + 12 = 0 12 + 52r + 35r2 = 0 + -52r + 52r 12 + 52r + 35r2 = -52r + 52r Combine like terms: -52r + 52r = 0 12 + 52r + 35r2 = 0 Factor a trinomial. (6 + 5r)(2 + 7r) = 0Subproblem 1
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 = -1.2Subproblem 2
Set the factor '(2 + 7r)' equal to zero and attempt to solve: Simplifying 2 + 7r = 0 Solving 2 + 7r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7r = 0 + -2 7r = 0 + -2 Combine like terms: 0 + -2 = -2 7r = -2 Divide each side by '7'. r = -0.2857142857 Simplifying r = -0.2857142857Solution
r = {-1.2, -0.2857142857}
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