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Simplifying 0 = 3r(r + -2) Reorder the terms: 0 = 3r(-2 + r) 0 = (-2 * 3r + r * 3r) 0 = (-6r + 3r2) Solving 0 = -6r + 3r2 Solving for variable 'r'. Remove the zero: 6r + -3r2 = -6r + 3r2 + 6r + -3r2 Reorder the terms: 6r + -3r2 = -6r + 6r + 3r2 + -3r2 Combine like terms: -6r + 6r = 0 6r + -3r2 = 0 + 3r2 + -3r2 6r + -3r2 = 3r2 + -3r2 Combine like terms: 3r2 + -3r2 = 0 6r + -3r2 = 0 Factor out the Greatest Common Factor (GCF), '3r'. 3r(2 + -1r) = 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 '(2 + -1r)' equal to zero and attempt to solve: Simplifying 2 + -1r = 0 Solving 2 + -1r = 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 + -1r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 0 + -2 -1r = 0 + -2 Combine like terms: 0 + -2 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2Solution
r = {0, 2}
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