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Simplifying 7u2 + -22uv + 3v2 = 0 Reorder the terms: -22uv + 7u2 + 3v2 = 0 Solving -22uv + 7u2 + 3v2 = 0 Solving for variable 'u'. Factor a trinomial. (u + -3v)(7u + -1v) = 0Subproblem 1
Set the factor '(u + -3v)' equal to zero and attempt to solve: Simplifying u + -3v = 0 Solving u + -3v = 0 Move all terms containing u to the left, all other terms to the right. Add '3v' to each side of the equation. u + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 u + 0 = 0 + 3v u = 0 + 3v Remove the zero: u = 3v Simplifying u = 3vSubproblem 2
Set the factor '(7u + -1v)' equal to zero and attempt to solve: Simplifying 7u + -1v = 0 Solving 7u + -1v = 0 Move all terms containing u to the left, all other terms to the right. Add 'v' to each side of the equation. 7u + -1v + v = 0 + v Combine like terms: -1v + v = 0 7u + 0 = 0 + v 7u = 0 + v Remove the zero: 7u = v Divide each side by '7'. u = 0.1428571429v Simplifying u = 0.1428571429vSolution
u = {3v, 0.1428571429v}
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