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Simplifying 2x(u + -3y) + 5y(u + -3v) = 0 (u * 2x + -3y * 2x) + 5y(u + -3v) = 0 (2ux + -6xy) + 5y(u + -3v) = 0 2ux + -6xy + (u * 5y + -3v * 5y) = 0 2ux + -6xy + (5uy + -15vy) = 0 Reorder the terms: 2ux + 5uy + -15vy + -6xy = 0 Solving 2ux + 5uy + -15vy + -6xy = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '15vy' to each side of the equation. 2ux + 5uy + -15vy + 15vy + -6xy = 0 + 15vy Combine like terms: -15vy + 15vy = 0 2ux + 5uy + 0 + -6xy = 0 + 15vy 2ux + 5uy + -6xy = 0 + 15vy Remove the zero: 2ux + 5uy + -6xy = 15vy Add '6xy' to each side of the equation. 2ux + 5uy + -6xy + 6xy = 15vy + 6xy Combine like terms: -6xy + 6xy = 0 2ux + 5uy + 0 = 15vy + 6xy 2ux + 5uy = 15vy + 6xy Reorder the terms: 2ux + 5uy + -15vy + -6xy = 15vy + -15vy + 6xy + -6xy Combine like terms: 15vy + -15vy = 0 2ux + 5uy + -15vy + -6xy = 0 + 6xy + -6xy 2ux + 5uy + -15vy + -6xy = 6xy + -6xy Combine like terms: 6xy + -6xy = 0 2ux + 5uy + -15vy + -6xy = 0 The solution to this equation could not be determined.
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