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Simplifying 6r(4r + -1) = 0 Reorder the terms: 6r(-1 + 4r) = 0 (-1 * 6r + 4r * 6r) = 0 (-6r + 24r2) = 0 Solving -6r + 24r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '6r'. 6r(-1 + 4r) = 0 Ignore the factor 6.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 '(-1 + 4r)' equal to zero and attempt to solve: Simplifying -1 + 4r = 0 Solving -1 + 4r = 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 + 4r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4r = 0 + 1 4r = 0 + 1 Combine like terms: 0 + 1 = 1 4r = 1 Divide each side by '4'. r = 0.25 Simplifying r = 0.25Solution
r = {0, 0.25}
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