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Simplifying 6r2 + 19ru + -77u2 = 0 Reorder the terms: 19ru + 6r2 + -77u2 = 0 Solving 19ru + 6r2 + -77u2 = 0 Solving for variable 'r'. Factor a trinomial. (3r + -7u)(2r + 11u) = 0Subproblem 1
Set the factor '(3r + -7u)' equal to zero and attempt to solve: Simplifying 3r + -7u = 0 Solving 3r + -7u = 0 Move all terms containing r to the left, all other terms to the right. Add '7u' to each side of the equation. 3r + -7u + 7u = 0 + 7u Combine like terms: -7u + 7u = 0 3r + 0 = 0 + 7u 3r = 0 + 7u Remove the zero: 3r = 7u Divide each side by '3'. r = 2.333333333u Simplifying r = 2.333333333uSubproblem 2
Set the factor '(2r + 11u)' equal to zero and attempt to solve: Simplifying 2r + 11u = 0 Solving 2r + 11u = 0 Move all terms containing r to the left, all other terms to the right. Add '-11u' to each side of the equation. 2r + 11u + -11u = 0 + -11u Combine like terms: 11u + -11u = 0 2r + 0 = 0 + -11u 2r = 0 + -11u Remove the zero: 2r = -11u Divide each side by '2'. r = -5.5u Simplifying r = -5.5uSolution
r = {2.333333333u, -5.5u}
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