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Simplifying -1u2 + 10uv + -21v2 = 0 Reorder the terms: 10uv + -1u2 + -21v2 = 0 Solving 10uv + -1u2 + -21v2 = 0 Solving for variable 'u'. Factor a trinomial. (-1u + 3v)(u + -7v) = 0Subproblem 1
Set the factor '(-1u + 3v)' equal to zero and attempt to solve: Simplifying -1u + 3v = 0 Solving -1u + 3v = 0 Move all terms containing u to the left, all other terms to the right. Add '-3v' to each side of the equation. -1u + 3v + -3v = 0 + -3v Combine like terms: 3v + -3v = 0 -1u + 0 = 0 + -3v -1u = 0 + -3v Remove the zero: -1u = -3v Divide each side by '-1'. u = 3v Simplifying u = 3vSubproblem 2
Set the factor '(u + -7v)' equal to zero and attempt to solve: Simplifying u + -7v = 0 Solving u + -7v = 0 Move all terms containing u to the left, all other terms to the right. Add '7v' to each side of the equation. u + -7v + 7v = 0 + 7v Combine like terms: -7v + 7v = 0 u + 0 = 0 + 7v u = 0 + 7v Remove the zero: u = 7v Simplifying u = 7vSolution
u = {3v, 7v}
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