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Simplifying 12r2 + 39r2 + -36r = 0 Reorder the terms: -36r + 12r2 + 39r2 = 0 Combine like terms: 12r2 + 39r2 = 51r2 -36r + 51r2 = 0 Solving -36r + 51r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3r'. 3r(-12 + 17r) = 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 '(-12 + 17r)' equal to zero and attempt to solve: Simplifying -12 + 17r = 0 Solving -12 + 17r = 0 Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 17r = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 17r = 0 + 12 17r = 0 + 12 Combine like terms: 0 + 12 = 12 17r = 12 Divide each side by '17'. r = 0.7058823529 Simplifying r = 0.7058823529Solution
r = {0, 0.7058823529}
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