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Simplifying 6r(4r + -3) = 0 Reorder the terms: 6r(-3 + 4r) = 0 (-3 * 6r + 4r * 6r) = 0 (-18r + 24r2) = 0 Solving -18r + 24r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '6r'. 6r(-3 + 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 '(-3 + 4r)' equal to zero and attempt to solve: Simplifying -3 + 4r = 0 Solving -3 + 4r = 0 Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4r = 0 + 3 4r = 0 + 3 Combine like terms: 0 + 3 = 3 4r = 3 Divide each side by '4'. r = 0.75 Simplifying r = 0.75Solution
r = {0, 0.75}
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