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Simplifying 120uv + 192u + 100v + 160 = 0 Reorder the terms: 160 + 192u + 120uv + 100v = 0 Solving 160 + 192u + 120uv + 100v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + 192u + 120uv + -160 + 100v = 0 + -160 Reorder the terms: 160 + -160 + 192u + 120uv + 100v = 0 + -160 Combine like terms: 160 + -160 = 0 0 + 192u + 120uv + 100v = 0 + -160 192u + 120uv + 100v = 0 + -160 Combine like terms: 0 + -160 = -160 192u + 120uv + 100v = -160 Add '-100v' to each side of the equation. 192u + 120uv + 100v + -100v = -160 + -100v Combine like terms: 100v + -100v = 0 192u + 120uv + 0 = -160 + -100v 192u + 120uv = -160 + -100v Reorder the terms: 160 + 192u + 120uv + 100v = -160 + -100v + 160 + 100v Reorder the terms: 160 + 192u + 120uv + 100v = -160 + 160 + -100v + 100v Combine like terms: -160 + 160 = 0 160 + 192u + 120uv + 100v = 0 + -100v + 100v 160 + 192u + 120uv + 100v = -100v + 100v Combine like terms: -100v + 100v = 0 160 + 192u + 120uv + 100v = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(40 + 48u + 30uv + 25v) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(40 + 48u + 30uv + 25v)' equal to zero and attempt to solve: Simplifying 40 + 48u + 30uv + 25v = 0 Solving 40 + 48u + 30uv + 25v = 0 Move all terms containing u to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 48u + 30uv + -40 + 25v = 0 + -40 Reorder the terms: 40 + -40 + 48u + 30uv + 25v = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 48u + 30uv + 25v = 0 + -40 48u + 30uv + 25v = 0 + -40 Combine like terms: 0 + -40 = -40 48u + 30uv + 25v = -40 Add '-25v' to each side of the equation. 48u + 30uv + 25v + -25v = -40 + -25v Combine like terms: 25v + -25v = 0 48u + 30uv + 0 = -40 + -25v 48u + 30uv = -40 + -25v 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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