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Simplifying -7u(-12v + -2u) = 0 Reorder the terms: -7u(-2u + -12v) = 0 (-2u * -7u + -12v * -7u) = 0 Reorder the terms: (84uv + 14u2) = 0 (84uv + 14u2) = 0 Solving 84uv + 14u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '14u'. 14u(6v + u) = 0 Ignore the factor 14.Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 2
Set the factor '(6v + u)' equal to zero and attempt to solve: Simplifying 6v + u = 0 Reorder the terms: u + 6v = 0 Solving u + 6v = 0 Move all terms containing u to the left, all other terms to the right. Add '-6v' to each side of the equation. u + 6v + -6v = 0 + -6v Combine like terms: 6v + -6v = 0 u + 0 = 0 + -6v u = 0 + -6v Remove the zero: u = -6v Simplifying u = -6vSolution
u = {0, -6v}
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