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Simplifying 49u2 + -28uv + 4v2 = 0 Reorder the terms: -28uv + 49u2 + 4v2 = 0 Solving -28uv + 49u2 + 4v2 = 0 Solving for variable 'u'. Factor a trinomial. (7u + -2v)(7u + -2v) = 0Subproblem 1
Set the factor '(7u + -2v)' equal to zero and attempt to solve: Simplifying 7u + -2v = 0 Solving 7u + -2v = 0 Move all terms containing u to the left, all other terms to the right. Add '2v' to each side of the equation. 7u + -2v + 2v = 0 + 2v Combine like terms: -2v + 2v = 0 7u + 0 = 0 + 2v 7u = 0 + 2v Remove the zero: 7u = 2v Divide each side by '7'. u = 0.2857142857v Simplifying u = 0.2857142857vSubproblem 2
Set the factor '(7u + -2v)' equal to zero and attempt to solve: Simplifying 7u + -2v = 0 Solving 7u + -2v = 0 Move all terms containing u to the left, all other terms to the right. Add '2v' to each side of the equation. 7u + -2v + 2v = 0 + 2v Combine like terms: -2v + 2v = 0 7u + 0 = 0 + 2v 7u = 0 + 2v Remove the zero: 7u = 2v Divide each side by '7'. u = 0.2857142857v Simplifying u = 0.2857142857vSolution
u = {0.2857142857v, 0.2857142857v}
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