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Simplifying 4x(u2 + 3v) + -1(u2 + 3V) = 0 (u2 * 4x + 3v * 4x) + -1(u2 + 3V) = 0 (4u2x + 12vx) + -1(u2 + 3V) = 0 Reorder the terms: 4u2x + 12vx + -1(3V + u2) = 0 4u2x + 12vx + (3V * -1 + u2 * -1) = 0 4u2x + 12vx + (-3V + -1u2) = 0 Reorder the terms: -3V + -1u2 + 4u2x + 12vx = 0 Solving -3V + -1u2 + 4u2x + 12vx = 0 Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add 'u2' to each side of the equation. -3V + -1u2 + 4u2x + u2 + 12vx = 0 + u2 Reorder the terms: -3V + -1u2 + u2 + 4u2x + 12vx = 0 + u2 Combine like terms: -1u2 + u2 = 0 -3V + 0 + 4u2x + 12vx = 0 + u2 -3V + 4u2x + 12vx = 0 + u2 Remove the zero: -3V + 4u2x + 12vx = u2 Add '-4u2x' to each side of the equation. -3V + 4u2x + -4u2x + 12vx = u2 + -4u2x Combine like terms: 4u2x + -4u2x = 0 -3V + 0 + 12vx = u2 + -4u2x -3V + 12vx = u2 + -4u2x Add '-12vx' to each side of the equation. -3V + 12vx + -12vx = u2 + -4u2x + -12vx Combine like terms: 12vx + -12vx = 0 -3V + 0 = u2 + -4u2x + -12vx -3V = u2 + -4u2x + -12vx Divide each side by '-3'. V = -0.3333333333u2 + 1.333333333u2x + 4vx Simplifying V = -0.3333333333u2 + 1.333333333u2x + 4vx
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