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Simplifying 6x + 3v = 6uv Reorder the terms: 3v + 6x = 6uv Solving 3v + 6x = 6uv Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6uv' to each side of the equation. 3v + -6uv + 6x = 6uv + -6uv Reorder the terms: -6uv + 3v + 6x = 6uv + -6uv Combine like terms: 6uv + -6uv = 0 -6uv + 3v + 6x = 0 Add '-6x' to each side of the equation. -6uv + 3v + 6x + -6x = 0 + -6x Combine like terms: 6x + -6x = 0 -6uv + 3v + 0 = 0 + -6x -6uv + 3v = 0 + -6x Remove the zero: -6uv + 3v = -6x Combine like terms: -6x + 6x = 0 -6uv + 3v + 6x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2uv + v + 2x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2uv + v + 2x)' equal to zero and attempt to solve: Simplifying -2uv + v + 2x = 0 Solving -2uv + v + 2x = 0 Move all terms containing v to the left, all other terms to the right. Add '-2x' to each side of the equation. -2uv + v + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 -2uv + v + 0 = 0 + -2x -2uv + v = 0 + -2x Remove the zero: -2uv + v = -2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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