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Simplifying 3v(5v + 2u + -8) + 5v(4 + -2v) = x Reorder the terms: 3v(-8 + 2u + 5v) + 5v(4 + -2v) = x (-8 * 3v + 2u * 3v + 5v * 3v) + 5v(4 + -2v) = x Reorder the terms: (6uv + -24v + 15v2) + 5v(4 + -2v) = x (6uv + -24v + 15v2) + 5v(4 + -2v) = x 6uv + -24v + 15v2 + (4 * 5v + -2v * 5v) = x 6uv + -24v + 15v2 + (20v + -10v2) = x Reorder the terms: 6uv + -24v + 20v + 15v2 + -10v2 = x Combine like terms: -24v + 20v = -4v 6uv + -4v + 15v2 + -10v2 = x Combine like terms: 15v2 + -10v2 = 5v2 6uv + -4v + 5v2 = x Solving 6uv + -4v + 5v2 = x Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4v' to each side of the equation. 6uv + -4v + 4v + 5v2 = 4v + x Combine like terms: -4v + 4v = 0 6uv + 0 + 5v2 = 4v + x 6uv + 5v2 = 4v + x Add '-5v2' to each side of the equation. 6uv + 5v2 + -5v2 = 4v + -5v2 + x Combine like terms: 5v2 + -5v2 = 0 6uv + 0 = 4v + -5v2 + x 6uv = 4v + -5v2 + x Divide each side by '6v'. u = 0.6666666667 + -0.8333333333v + 0.1666666667v-1x Simplifying u = 0.6666666667 + -0.8333333333v + 0.1666666667v-1x Reorder the terms: u = 0.6666666667 + 0.1666666667v-1x + -0.8333333333v
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