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Simplifying 9r2 + -34r + 21 = 0 Reorder the terms: 21 + -34r + 9r2 = 0 Solving 21 + -34r + 9r2 = 0 Solving for variable 'r'. Factor a trinomial. (7 + -9r)(3 + -1r) = 0Subproblem 1
Set the factor '(7 + -9r)' equal to zero and attempt to solve: Simplifying 7 + -9r = 0 Solving 7 + -9r = 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 + -9r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9r = 0 + -7 -9r = 0 + -7 Combine like terms: 0 + -7 = -7 -9r = -7 Divide each side by '-9'. r = 0.7777777778 Simplifying r = 0.7777777778Subproblem 2
Set the factor '(3 + -1r)' equal to zero and attempt to solve: Simplifying 3 + -1r = 0 Solving 3 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = 0 + -3 -1r = 0 + -3 Combine like terms: 0 + -3 = -3 -1r = -3 Divide each side by '-1'. r = 3 Simplifying r = 3Solution
r = {0.7777777778, 3}
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