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Simplifying 24r2 + 19r + 2 = 0 Reorder the terms: 2 + 19r + 24r2 = 0 Solving 2 + 19r + 24r2 = 0 Solving for variable 'r'. Factor a trinomial. (2 + 3r)(1 + 8r) = 0Subproblem 1
Set the factor '(2 + 3r)' equal to zero and attempt to solve: Simplifying 2 + 3r = 0 Solving 2 + 3r = 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 + 3r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3r = 0 + -2 3r = 0 + -2 Combine like terms: 0 + -2 = -2 3r = -2 Divide each side by '3'. r = -0.6666666667 Simplifying r = -0.6666666667Subproblem 2
Set the factor '(1 + 8r)' equal to zero and attempt to solve: Simplifying 1 + 8r = 0 Solving 1 + 8r = 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 + 8r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8r = 0 + -1 8r = 0 + -1 Combine like terms: 0 + -1 = -1 8r = -1 Divide each side by '8'. r = -0.125 Simplifying r = -0.125Solution
r = {-0.6666666667, -0.125}
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