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Simplifying x2 + 8uv + 12v2 = 1 Reorder the terms: 8uv + 12v2 + x2 = 1 Solving 8uv + 12v2 + x2 = 1 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12v2' to each side of the equation. 8uv + 12v2 + -12v2 + x2 = 1 + -12v2 Combine like terms: 12v2 + -12v2 = 0 8uv + 0 + x2 = 1 + -12v2 8uv + x2 = 1 + -12v2 Add '-1x2' to each side of the equation. 8uv + x2 + -1x2 = 1 + -12v2 + -1x2 Combine like terms: x2 + -1x2 = 0 8uv + 0 = 1 + -12v2 + -1x2 8uv = 1 + -12v2 + -1x2 Divide each side by '8v'. u = 0.125v-1 + -1.5v + -0.125v-1x2 Simplifying u = 0.125v-1 + -1.5v + -0.125v-1x2 Reorder the terms: u = 0.125v-1 + -0.125v-1x2 + -1.5v
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