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Simplifying 3r(7r + 4) = 0 Reorder the terms: 3r(4 + 7r) = 0 (4 * 3r + 7r * 3r) = 0 (12r + 21r2) = 0 Solving 12r + 21r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3r'. 3r(4 + 7r) = 0 Ignore the factor 3.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 + 7r)' equal to zero and attempt to solve: Simplifying 4 + 7r = 0 Solving 4 + 7r = 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 + 7r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7r = 0 + -4 7r = 0 + -4 Combine like terms: 0 + -4 = -4 7r = -4 Divide each side by '7'. r = -0.5714285714 Simplifying r = -0.5714285714Solution
r = {0, -0.5714285714}
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