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Simplifying (0.3u + 0.6v + -0.4w)(0.3u + 0.6v + -0.4w) = 0 Multiply (0.3u + 0.6v + -0.4w) * (0.3u + 0.6v + -0.4w) (0.3u * (0.3u + 0.6v + -0.4w) + 0.6v * (0.3u + 0.6v + -0.4w) + -0.4w * (0.3u + 0.6v + -0.4w)) = 0 ((0.3u * 0.3u + 0.6v * 0.3u + -0.4w * 0.3u) + 0.6v * (0.3u + 0.6v + -0.4w) + -0.4w * (0.3u + 0.6v + -0.4w)) = 0 Reorder the terms: ((0.18uv + -0.12uw + 0.09u2) + 0.6v * (0.3u + 0.6v + -0.4w) + -0.4w * (0.3u + 0.6v + -0.4w)) = 0 ((0.18uv + -0.12uw + 0.09u2) + 0.6v * (0.3u + 0.6v + -0.4w) + -0.4w * (0.3u + 0.6v + -0.4w)) = 0 (0.18uv + -0.12uw + 0.09u2 + (0.3u * 0.6v + 0.6v * 0.6v + -0.4w * 0.6v) + -0.4w * (0.3u + 0.6v + -0.4w)) = 0 Reorder the terms: (0.18uv + -0.12uw + 0.09u2 + (0.18uv + -0.24vw + 0.36v2) + -0.4w * (0.3u + 0.6v + -0.4w)) = 0 (0.18uv + -0.12uw + 0.09u2 + (0.18uv + -0.24vw + 0.36v2) + -0.4w * (0.3u + 0.6v + -0.4w)) = 0 (0.18uv + -0.12uw + 0.09u2 + 0.18uv + -0.24vw + 0.36v2 + (0.3u * -0.4w + 0.6v * -0.4w + -0.4w * -0.4w)) = 0 (0.18uv + -0.12uw + 0.09u2 + 0.18uv + -0.24vw + 0.36v2 + (-0.12uw + -0.24vw + 0.16w2)) = 0 Reorder the terms: (0.18uv + 0.18uv + -0.12uw + -0.12uw + 0.09u2 + -0.24vw + -0.24vw + 0.36v2 + 0.16w2) = 0 Combine like terms: 0.18uv + 0.18uv = 0.36uv (0.36uv + -0.12uw + -0.12uw + 0.09u2 + -0.24vw + -0.24vw + 0.36v2 + 0.16w2) = 0 Combine like terms: -0.12uw + -0.12uw = -0.24uw (0.36uv + -0.24uw + 0.09u2 + -0.24vw + -0.24vw + 0.36v2 + 0.16w2) = 0 Combine like terms: -0.24vw + -0.24vw = -0.48vw (0.36uv + -0.24uw + 0.09u2 + -0.48vw + 0.36v2 + 0.16w2) = 0 Solving 0.36uv + -0.24uw + 0.09u2 + -0.48vw + 0.36v2 + 0.16w2 = 0 Solving for variable 'u'. The solution to this equation could not be determined.
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