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Simplifying 9r2 + -18r + -7 = 0 Reorder the terms: -7 + -18r + 9r2 = 0 Solving -7 + -18r + 9r2 = 0 Solving for variable 'r'. Factor a trinomial. (-1 + -3r)(7 + -3r) = 0Subproblem 1
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 = -0.3333333333Subproblem 2
Set the factor '(7 + -3r)' equal to zero and attempt to solve: Simplifying 7 + -3r = 0 Solving 7 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3r = 0 + -7 -3r = 0 + -7 Combine like terms: 0 + -7 = -7 -3r = -7 Divide each side by '-3'. r = 2.333333333 Simplifying r = 2.333333333Solution
r = {-0.3333333333, 2.333333333}
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