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Simplifying 35r2 + 25r + -60 = 0 Reorder the terms: -60 + 25r + 35r2 = 0 Solving -60 + 25r + 35r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '5'. 5(-12 + 5r + 7r2) = 0 Factor a trinomial. 5((-12 + -7r)(1 + -1r)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-12 + -7r)' equal to zero and attempt to solve: Simplifying -12 + -7r = 0 Solving -12 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -7r = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -7r = 0 + 12 -7r = 0 + 12 Combine like terms: 0 + 12 = 12 -7r = 12 Divide each side by '-7'. r = -1.714285714 Simplifying r = -1.714285714Subproblem 2
Set the factor '(1 + -1r)' equal to zero and attempt to solve: Simplifying 1 + -1r = 0 Solving 1 + -1r = 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 + -1r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1r = 0 + -1 -1r = 0 + -1 Combine like terms: 0 + -1 = -1 -1r = -1 Divide each side by '-1'. r = 1 Simplifying r = 1Solution
r = {-1.714285714, 1}
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