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Simplifying 21r2 + 184r + 75 = 0 Reorder the terms: 75 + 184r + 21r2 = 0 Solving 75 + 184r + 21r2 = 0 Solving for variable 'r'. Factor a trinomial. (25 + 3r)(3 + 7r) = 0Subproblem 1
Set the factor '(25 + 3r)' equal to zero and attempt to solve: Simplifying 25 + 3r = 0 Solving 25 + 3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 3r = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 3r = 0 + -25 3r = 0 + -25 Combine like terms: 0 + -25 = -25 3r = -25 Divide each side by '3'. r = -8.333333333 Simplifying r = -8.333333333Subproblem 2
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 = -0.4285714286Solution
r = {-8.333333333, -0.4285714286}
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