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Simplifying 21r2 + 29r = -10 Reorder the terms: 29r + 21r2 = -10 Solving 29r + 21r2 = -10 Solving for variable 'r'. Reorder the terms: 10 + 29r + 21r2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 29r + 21r2 = 0 Factor a trinomial. (5 + 7r)(2 + 3r) = 0Subproblem 1
Set the factor '(5 + 7r)' equal to zero and attempt to solve: Simplifying 5 + 7r = 0 Solving 5 + 7r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7r = 0 + -5 7r = 0 + -5 Combine like terms: 0 + -5 = -5 7r = -5 Divide each side by '7'. r = -0.7142857143 Simplifying r = -0.7142857143Subproblem 2
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 = -0.6666666667Solution
r = {-0.7142857143, -0.6666666667}
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