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Simplifying 3v(v + 8)(u + -5) = 0 Reorder the terms: 3v(8 + v)(u + -5) = 0 Reorder the terms: 3v(8 + v)(-5 + u) = 0 Multiply (8 + v) * (-5 + u) 3v(8(-5 + u) + v(-5 + u)) = 0 3v((-5 * 8 + u * 8) + v(-5 + u)) = 0 3v((-40 + 8u) + v(-5 + u)) = 0 3v(-40 + 8u + (-5 * v + u * v)) = 0 Reorder the terms: 3v(-40 + 8u + (uv + -5v)) = 0 3v(-40 + 8u + (uv + -5v)) = 0 3v(-40 + 8u + uv + -5v) = 0 (-40 * 3v + 8u * 3v + uv * 3v + -5v * 3v) = 0 Reorder the terms: (24uv + 3uv2 + -120v + -15v2) = 0 (24uv + 3uv2 + -120v + -15v2) = 0 Solving 24uv + 3uv2 + -120v + -15v2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '120v' to each side of the equation. 24uv + 3uv2 + -120v + 120v + -15v2 = 0 + 120v Combine like terms: -120v + 120v = 0 24uv + 3uv2 + 0 + -15v2 = 0 + 120v 24uv + 3uv2 + -15v2 = 0 + 120v Remove the zero: 24uv + 3uv2 + -15v2 = 120v Add '15v2' to each side of the equation. 24uv + 3uv2 + -15v2 + 15v2 = 120v + 15v2 Combine like terms: -15v2 + 15v2 = 0 24uv + 3uv2 + 0 = 120v + 15v2 24uv + 3uv2 = 120v + 15v2 Reorder the terms: 24uv + 3uv2 + -120v + -15v2 = 120v + -120v + 15v2 + -15v2 Combine like terms: 120v + -120v = 0 24uv + 3uv2 + -120v + -15v2 = 0 + 15v2 + -15v2 24uv + 3uv2 + -120v + -15v2 = 15v2 + -15v2 Combine like terms: 15v2 + -15v2 = 0 24uv + 3uv2 + -120v + -15v2 = 0 Factor out the Greatest Common Factor (GCF), '3v'. 3v(8u + uv + -40 + -5v) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing u to the left, all other terms to the right. Add '-1v' to each side of the equation. v + -1v = 0 + -1v Remove the zero: 0 = -1v Simplifying 0 = -1v The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(8u + uv + -40 + -5v)' equal to zero and attempt to solve: Simplifying 8u + uv + -40 + -5v = 0 Reorder the terms: -40 + 8u + uv + -5v = 0 Solving -40 + 8u + uv + -5v = 0 Move all terms containing u to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 8u + uv + 40 + -5v = 0 + 40 Reorder the terms: -40 + 40 + 8u + uv + -5v = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 8u + uv + -5v = 0 + 40 8u + uv + -5v = 0 + 40 Combine like terms: 0 + 40 = 40 8u + uv + -5v = 40 Add '5v' to each side of the equation. 8u + uv + -5v + 5v = 40 + 5v Combine like terms: -5v + 5v = 0 8u + uv + 0 = 40 + 5v 8u + uv = 40 + 5v 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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