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Simplifying 3r3 + 2r2 = 0 Reorder the terms: 2r2 + 3r3 = 0 Solving 2r2 + 3r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r2'. r2(2 + 3r) = 0Subproblem 1
Set the factor 'r2' equal to zero and attempt to solve: Simplifying r2 = 0 Solving r2 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r2 = 0 Take the square root of each side: r = {0}Subproblem 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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