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Simplifying 6r2 + 49r + 8 = 0 Reorder the terms: 8 + 49r + 6r2 = 0 Solving 8 + 49r + 6r2 = 0 Solving for variable 'r'. Factor a trinomial. (8 + r)(1 + 6r) = 0Subproblem 1
Set the factor '(8 + r)' equal to zero and attempt to solve: Simplifying 8 + r = 0 Solving 8 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + r = 0 + -8 r = 0 + -8 Combine like terms: 0 + -8 = -8 r = -8 Simplifying r = -8Subproblem 2
Set the factor '(1 + 6r)' equal to zero and attempt to solve: Simplifying 1 + 6r = 0 Solving 1 + 6r = 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 + 6r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6r = 0 + -1 6r = 0 + -1 Combine like terms: 0 + -1 = -1 6r = -1 Divide each side by '6'. r = -0.1666666667 Simplifying r = -0.1666666667Solution
r = {-8, -0.1666666667}
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