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Simplifying 3v(u + 7)(v + -3) = 0 Reorder the terms: 3v(7 + u)(v + -3) = 0 Reorder the terms: 3v(7 + u)(-3 + v) = 0 Multiply (7 + u) * (-3 + v) 3v(7(-3 + v) + u(-3 + v)) = 0 3v((-3 * 7 + v * 7) + u(-3 + v)) = 0 3v((-21 + 7v) + u(-3 + v)) = 0 3v(-21 + 7v + (-3 * u + v * u)) = 0 3v(-21 + 7v + (-3u + uv)) = 0 Reorder the terms: 3v(-21 + -3u + uv + 7v) = 0 3v(-21 + -3u + uv + 7v) = 0 (-21 * 3v + -3u * 3v + uv * 3v + 7v * 3v) = 0 Reorder the terms: (-9uv + 3uv2 + -63v + 21v2) = 0 (-9uv + 3uv2 + -63v + 21v2) = 0 Solving -9uv + 3uv2 + -63v + 21v2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '63v' to each side of the equation. -9uv + 3uv2 + -63v + 63v + 21v2 = 0 + 63v Combine like terms: -63v + 63v = 0 -9uv + 3uv2 + 0 + 21v2 = 0 + 63v -9uv + 3uv2 + 21v2 = 0 + 63v Remove the zero: -9uv + 3uv2 + 21v2 = 63v Add '-21v2' to each side of the equation. -9uv + 3uv2 + 21v2 + -21v2 = 63v + -21v2 Combine like terms: 21v2 + -21v2 = 0 -9uv + 3uv2 + 0 = 63v + -21v2 -9uv + 3uv2 = 63v + -21v2 Reorder the terms: -9uv + 3uv2 + -63v + 21v2 = 63v + -63v + -21v2 + 21v2 Combine like terms: 63v + -63v = 0 -9uv + 3uv2 + -63v + 21v2 = 0 + -21v2 + 21v2 -9uv + 3uv2 + -63v + 21v2 = -21v2 + 21v2 Combine like terms: -21v2 + 21v2 = 0 -9uv + 3uv2 + -63v + 21v2 = 0 Factor out the Greatest Common Factor (GCF), '3v'. 3v(-3u + uv + -21 + 7v) = 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 '(-3u + uv + -21 + 7v)' equal to zero and attempt to solve: Simplifying -3u + uv + -21 + 7v = 0 Reorder the terms: -21 + -3u + uv + 7v = 0 Solving -21 + -3u + uv + 7v = 0 Move all terms containing u to the left, all other terms to the right. Add '21' to each side of the equation. -21 + -3u + uv + 21 + 7v = 0 + 21 Reorder the terms: -21 + 21 + -3u + uv + 7v = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -3u + uv + 7v = 0 + 21 -3u + uv + 7v = 0 + 21 Combine like terms: 0 + 21 = 21 -3u + uv + 7v = 21 Add '-7v' to each side of the equation. -3u + uv + 7v + -7v = 21 + -7v Combine like terms: 7v + -7v = 0 -3u + uv + 0 = 21 + -7v -3u + uv = 21 + -7v 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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