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Simplifying 27r2 + 69r + -8 = 0 Reorder the terms: -8 + 69r + 27r2 = 0 Solving -8 + 69r + 27r2 = 0 Solving for variable 'r'. Factor a trinomial. (-8 + -3r)(1 + -9r) = 0Subproblem 1
Set the factor '(-8 + -3r)' equal to zero and attempt to solve: Simplifying -8 + -3r = 0 Solving -8 + -3r = 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 + -3r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3r = 0 + 8 -3r = 0 + 8 Combine like terms: 0 + 8 = 8 -3r = 8 Divide each side by '-3'. r = -2.666666667 Simplifying r = -2.666666667Subproblem 2
Set the factor '(1 + -9r)' equal to zero and attempt to solve: Simplifying 1 + -9r = 0 Solving 1 + -9r = 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 + -9r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9r = 0 + -1 -9r = 0 + -1 Combine like terms: 0 + -1 = -1 -9r = -1 Divide each side by '-9'. r = 0.1111111111 Simplifying r = 0.1111111111Solution
r = {-2.666666667, 0.1111111111}
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