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Simplifying 35r2 + 23r + -72 = 0 Reorder the terms: -72 + 23r + 35r2 = 0 Solving -72 + 23r + 35r2 = 0 Solving for variable 'r'. Factor a trinomial. (-9 + -5r)(8 + -7r) = 0Subproblem 1
Set the factor '(-9 + -5r)' equal to zero and attempt to solve: Simplifying -9 + -5r = 0 Solving -9 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -5r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5r = 0 + 9 -5r = 0 + 9 Combine like terms: 0 + 9 = 9 -5r = 9 Divide each side by '-5'. r = -1.8 Simplifying r = -1.8Subproblem 2
Set the factor '(8 + -7r)' equal to zero and attempt to solve: Simplifying 8 + -7r = 0 Solving 8 + -7r = 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 + -7r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7r = 0 + -8 -7r = 0 + -8 Combine like terms: 0 + -8 = -8 -7r = -8 Divide each side by '-7'. r = 1.142857143 Simplifying r = 1.142857143Solution
r = {-1.8, 1.142857143}
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