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Simplifying 12r2 + 12r2 + 2r + r + -1r = 0 Reorder the terms: 2r + r + -1r + 12r2 + 12r2 = 0 Combine like terms: 2r + r = 3r 3r + -1r + 12r2 + 12r2 = 0 Combine like terms: 3r + -1r = 2r 2r + 12r2 + 12r2 = 0 Combine like terms: 12r2 + 12r2 = 24r2 2r + 24r2 = 0 Solving 2r + 24r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2r'. 2r(1 + 12r) = 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 '(1 + 12r)' equal to zero and attempt to solve: Simplifying 1 + 12r = 0 Solving 1 + 12r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 12r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 12r = 0 + -1 12r = 0 + -1 Combine like terms: 0 + -1 = -1 12r = -1 Divide each side by '12'. r = -0.08333333333 Simplifying r = -0.08333333333Solution
r = {0, -0.08333333333}
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