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Simplifying 14uv + -21vw + 49uw = 0 Reorder the terms: 14uv + 49uw + -21vw = 0 Solving 14uv + 49uw + -21vw = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '21vw' to each side of the equation. 14uv + 49uw + -21vw + 21vw = 0 + 21vw Combine like terms: -21vw + 21vw = 0 14uv + 49uw + 0 = 0 + 21vw 14uv + 49uw = 0 + 21vw Remove the zero: 14uv + 49uw = 21vw Combine like terms: 21vw + -21vw = 0 14uv + 49uw + -21vw = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(2uv + 7uw + -3vw) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(2uv + 7uw + -3vw)' equal to zero and attempt to solve: Simplifying 2uv + 7uw + -3vw = 0 Solving 2uv + 7uw + -3vw = 0 Move all terms containing u to the left, all other terms to the right. Add '3vw' to each side of the equation. 2uv + 7uw + -3vw + 3vw = 0 + 3vw Combine like terms: -3vw + 3vw = 0 2uv + 7uw + 0 = 0 + 3vw 2uv + 7uw = 0 + 3vw Remove the zero: 2uv + 7uw = 3vw The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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