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Simplifying 2u2 + uv + -21v2 = 0 Reorder the terms: uv + 2u2 + -21v2 = 0 Solving uv + 2u2 + -21v2 = 0 Solving for variable 'u'. Factor a trinomial. (u + -3v)(2u + 7v) = 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 '(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 = {3v, -3.5v}
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