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Simplifying 104r + 36 = 12r2 Reorder the terms: 36 + 104r = 12r2 Solving 36 + 104r = 12r2 Solving for variable 'r'. Combine like terms: 12r2 + -12r2 = 0 36 + 104r + -12r2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(9 + 26r + -3r2) = 0 Factor a trinomial. 4((9 + -1r)(1 + 3r)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(9 + -1r)' equal to zero and attempt to solve: Simplifying 9 + -1r = 0 Solving 9 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1r = 0 + -9 -1r = 0 + -9 Combine like terms: 0 + -9 = -9 -1r = -9 Divide each side by '-1'. r = 9 Simplifying r = 9Subproblem 2
Set the factor '(1 + 3r)' equal to zero and attempt to solve: Simplifying 1 + 3r = 0 Solving 1 + 3r = 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 + 3r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3r = 0 + -1 3r = 0 + -1 Combine like terms: 0 + -1 = -1 3r = -1 Divide each side by '3'. r = -0.3333333333 Simplifying r = -0.3333333333Solution
r = {9, -0.3333333333}
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