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Simplifying 12r2 + 19r + 7 = 0 Reorder the terms: 7 + 19r + 12r2 = 0 Solving 7 + 19r + 12r2 = 0 Solving for variable 'r'. Factor a trinomial. (1 + r)(7 + 12r) = 0Subproblem 1
Set the factor '(1 + r)' equal to zero and attempt to solve: Simplifying 1 + r = 0 Solving 1 + r = 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 + r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r = 0 + -1 r = 0 + -1 Combine like terms: 0 + -1 = -1 r = -1 Simplifying r = -1Subproblem 2
Set the factor '(7 + 12r)' equal to zero and attempt to solve: Simplifying 7 + 12r = 0 Solving 7 + 12r = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 12r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 12r = 0 + -7 12r = 0 + -7 Combine like terms: 0 + -7 = -7 12r = -7 Divide each side by '12'. r = -0.5833333333 Simplifying r = -0.5833333333Solution
r = {-1, -0.5833333333}
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