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Simplifying 126r2 + 48 = -204r Reorder the terms: 48 + 126r2 = -204r Solving 48 + 126r2 = -204r Solving for variable 'r'. Reorder the terms: 48 + 204r + 126r2 = -204r + 204r Combine like terms: -204r + 204r = 0 48 + 204r + 126r2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(8 + 34r + 21r2) = 0 Factor a trinomial. 6((4 + 3r)(2 + 7r)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(4 + 3r)' equal to zero and attempt to solve: Simplifying 4 + 3r = 0 Solving 4 + 3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3r = 0 + -4 3r = 0 + -4 Combine like terms: 0 + -4 = -4 3r = -4 Divide each side by '3'. r = -1.333333333 Simplifying r = -1.333333333Subproblem 2
Set the factor '(2 + 7r)' equal to zero and attempt to solve: Simplifying 2 + 7r = 0 Solving 2 + 7r = 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 + 7r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7r = 0 + -2 7r = 0 + -2 Combine like terms: 0 + -2 = -2 7r = -2 Divide each side by '7'. r = -0.2857142857 Simplifying r = -0.2857142857Solution
r = {-1.333333333, -0.2857142857}
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