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Simplifying 4uv + 3(uv * uv) + -5uv + 4(uv * uv) = 0 Multiply uv * uv 4uv + 3(u2v2) + -5uv + 4(uv * uv) = 0 Multiply uv * uv 4uv + 3u2v2 + -5uv + 4(u2v2) = 0 Reorder the terms: 4uv + -5uv + 3u2v2 + 4u2v2 = 0 Combine like terms: 4uv + -5uv = -1uv -1uv + 3u2v2 + 4u2v2 = 0 Combine like terms: 3u2v2 + 4u2v2 = 7u2v2 -1uv + 7u2v2 = 0 Solving -1uv + 7u2v2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'uv'. uv(-1 + 7uv) = 0Subproblem 1
Set the factor 'uv' equal to zero and attempt to solve: Simplifying uv = 0 Solving uv = 0 Move all terms containing u to the left, all other terms to the right. Simplifying uv = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + 7uv)' equal to zero and attempt to solve: Simplifying -1 + 7uv = 0 Solving -1 + 7uv = 0 Move all terms containing u to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7uv = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7uv = 0 + 1 7uv = 0 + 1 Combine like terms: 0 + 1 = 1 7uv = 1 Divide each side by '7v'. u = 0.1428571429v-1 Simplifying u = 0.1428571429v-1Solution
u = {0.1428571429v-1}
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