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Simplifying -1r(6r + -5) = 0 Reorder the terms: -1r(-5 + 6r) = 0 (-5 * -1r + 6r * -1r) = 0 (5r + -6r2) = 0 Solving 5r + -6r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(5 + -6r) = 0Subproblem 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 '(5 + -6r)' equal to zero and attempt to solve: Simplifying 5 + -6r = 0 Solving 5 + -6r = 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 + -6r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6r = 0 + -5 -6r = 0 + -5 Combine like terms: 0 + -5 = -5 -6r = -5 Divide each side by '-6'. r = 0.8333333333 Simplifying r = 0.8333333333Solution
r = {0, 0.8333333333}
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