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Simplifying 6r2 + 8r = 0 Reorder the terms: 8r + 6r2 = 0 Solving 8r + 6r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2r'. 2r(4 + 3r) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0Subproblem 2
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 = -1.333333333Solution
r = {0, -1.333333333}
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