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Simplifying (2w + -3u + 3)(2w + -6) = 0 Reorder the terms: (3 + -3u + 2w)(2w + -6) = 0 Reorder the terms: (3 + -3u + 2w)(-6 + 2w) = 0 Multiply (3 + -3u + 2w) * (-6 + 2w) (3(-6 + 2w) + -3u * (-6 + 2w) + 2w * (-6 + 2w)) = 0 ((-6 * 3 + 2w * 3) + -3u * (-6 + 2w) + 2w * (-6 + 2w)) = 0 ((-18 + 6w) + -3u * (-6 + 2w) + 2w * (-6 + 2w)) = 0 (-18 + 6w + (-6 * -3u + 2w * -3u) + 2w * (-6 + 2w)) = 0 (-18 + 6w + (18u + -6uw) + 2w * (-6 + 2w)) = 0 (-18 + 6w + 18u + -6uw + (-6 * 2w + 2w * 2w)) = 0 (-18 + 6w + 18u + -6uw + (-12w + 4w2)) = 0 Reorder the terms: (-18 + 18u + -6uw + 6w + -12w + 4w2) = 0 Combine like terms: 6w + -12w = -6w (-18 + 18u + -6uw + -6w + 4w2) = 0 Solving -18 + 18u + -6uw + -6w + 4w2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18u + -6uw + -6w + 18 + 4w2 = 0 + 18 Reorder the terms: -18 + 18 + 18u + -6uw + -6w + 4w2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 18u + -6uw + -6w + 4w2 = 0 + 18 18u + -6uw + -6w + 4w2 = 0 + 18 Combine like terms: 0 + 18 = 18 18u + -6uw + -6w + 4w2 = 18 Add '6w' to each side of the equation. 18u + -6uw + -6w + 6w + 4w2 = 18 + 6w Combine like terms: -6w + 6w = 0 18u + -6uw + 0 + 4w2 = 18 + 6w 18u + -6uw + 4w2 = 18 + 6w Add '-4w2' to each side of the equation. 18u + -6uw + 4w2 + -4w2 = 18 + 6w + -4w2 Combine like terms: 4w2 + -4w2 = 0 18u + -6uw + 0 = 18 + 6w + -4w2 18u + -6uw = 18 + 6w + -4w2 Reorder the terms: -18 + 18u + -6uw + -6w + 4w2 = 18 + 6w + -4w2 + -18 + -6w + 4w2 Reorder the terms: -18 + 18u + -6uw + -6w + 4w2 = 18 + -18 + 6w + -6w + -4w2 + 4w2 Combine like terms: 18 + -18 = 0 -18 + 18u + -6uw + -6w + 4w2 = 0 + 6w + -6w + -4w2 + 4w2 -18 + 18u + -6uw + -6w + 4w2 = 6w + -6w + -4w2 + 4w2 Combine like terms: 6w + -6w = 0 -18 + 18u + -6uw + -6w + 4w2 = 0 + -4w2 + 4w2 -18 + 18u + -6uw + -6w + 4w2 = -4w2 + 4w2 Combine like terms: -4w2 + 4w2 = 0 -18 + 18u + -6uw + -6w + 4w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 9u + -3uw + -3w + 2w2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + 9u + -3uw + -3w + 2w2)' equal to zero and attempt to solve: Simplifying -9 + 9u + -3uw + -3w + 2w2 = 0 Solving -9 + 9u + -3uw + -3w + 2w2 = 0 Move all terms containing u to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9u + -3uw + -3w + 9 + 2w2 = 0 + 9 Reorder the terms: -9 + 9 + 9u + -3uw + -3w + 2w2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 9u + -3uw + -3w + 2w2 = 0 + 9 9u + -3uw + -3w + 2w2 = 0 + 9 Combine like terms: 0 + 9 = 9 9u + -3uw + -3w + 2w2 = 9 Add '3w' to each side of the equation. 9u + -3uw + -3w + 3w + 2w2 = 9 + 3w Combine like terms: -3w + 3w = 0 9u + -3uw + 0 + 2w2 = 9 + 3w 9u + -3uw + 2w2 = 9 + 3w Add '-2w2' to each side of the equation. 9u + -3uw + 2w2 + -2w2 = 9 + 3w + -2w2 Combine like terms: 2w2 + -2w2 = 0 9u + -3uw + 0 = 9 + 3w + -2w2 9u + -3uw = 9 + 3w + -2w2 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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