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