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Simplifying 3r2 + 2r + -12r2 + 6r = 0 Reorder the terms: 2r + 6r + 3r2 + -12r2 = 0 Combine like terms: 2r + 6r = 8r 8r + 3r2 + -12r2 = 0 Combine like terms: 3r2 + -12r2 = -9r2 8r + -9r2 = 0 Solving 8r + -9r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(8 + -9r) = 0Subproblem 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 '(8 + -9r)' equal to zero and attempt to solve: Simplifying 8 + -9r = 0 Solving 8 + -9r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9r = 0 + -8 -9r = 0 + -8 Combine like terms: 0 + -8 = -8 -9r = -8 Divide each side by '-9'. r = 0.8888888889 Simplifying r = 0.8888888889Solution
r = {0, 0.8888888889}
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