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Simplifying 36r2 + -12r + 1 = 0 Reorder the terms: 1 + -12r + 36r2 = 0 Solving 1 + -12r + 36r2 = 0 Solving for variable 'r'. Factor a trinomial. (1 + -6r)(1 + -6r) = 0Subproblem 1
Set the factor '(1 + -6r)' equal to zero and attempt to solve: Simplifying 1 + -6r = 0 Solving 1 + -6r = 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 + -6r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6r = 0 + -1 -6r = 0 + -1 Combine like terms: 0 + -1 = -1 -6r = -1 Divide each side by '-6'. r = 0.1666666667 Simplifying r = 0.1666666667Subproblem 2
Set the factor '(1 + -6r)' equal to zero and attempt to solve: Simplifying 1 + -6r = 0 Solving 1 + -6r = 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 + -6r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6r = 0 + -1 -6r = 0 + -1 Combine like terms: 0 + -1 = -1 -6r = -1 Divide each side by '-6'. r = 0.1666666667 Simplifying r = 0.1666666667Solution
r = {0.1666666667, 0.1666666667}
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