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Simplifying 4r(6r + 4) = 0 Reorder the terms: 4r(4 + 6r) = 0 (4 * 4r + 6r * 4r) = 0 (16r + 24r2) = 0 Solving 16r + 24r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '8r'. 8r(2 + 3r) = 0 Ignore the factor 8.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 '(2 + 3r)' equal to zero and attempt to solve: Simplifying 2 + 3r = 0 Solving 2 + 3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3r = 0 + -2 3r = 0 + -2 Combine like terms: 0 + -2 = -2 3r = -2 Divide each side by '3'. r = -0.6666666667 Simplifying r = -0.6666666667Solution
r = {0, -0.6666666667}
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