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Simplifying 49v2 + -28vu + 4u2 = 0 Reorder the terms: -28uv + 4u2 + 49v2 = 0 Solving -28uv + 4u2 + 49v2 = 0 Solving for variable 'u'. Factor a trinomial. (2u + -7v)(2u + -7v) = 0Subproblem 1
Set the factor '(2u + -7v)' equal to zero and attempt to solve: Simplifying 2u + -7v = 0 Solving 2u + -7v = 0 Move all terms containing u to the left, all other terms to the right. Add '7v' to each side of the equation. 2u + -7v + 7v = 0 + 7v Combine like terms: -7v + 7v = 0 2u + 0 = 0 + 7v 2u = 0 + 7v Remove the zero: 2u = 7v Divide each side by '2'. u = 3.5v Simplifying u = 3.5vSubproblem 2
Set the factor '(2u + -7v)' equal to zero and attempt to solve: Simplifying 2u + -7v = 0 Solving 2u + -7v = 0 Move all terms containing u to the left, all other terms to the right. Add '7v' to each side of the equation. 2u + -7v + 7v = 0 + 7v Combine like terms: -7v + 7v = 0 2u + 0 = 0 + 7v 2u = 0 + 7v Remove the zero: 2u = 7v Divide each side by '2'. u = 3.5v Simplifying u = 3.5vSolution
u = {3.5v, 3.5v}
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