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Simplifying (3w + -7u + -2)(2w + -4) = 0 Reorder the terms: (-2 + -7u + 3w)(2w + -4) = 0 Reorder the terms: (-2 + -7u + 3w)(-4 + 2w) = 0 Multiply (-2 + -7u + 3w) * (-4 + 2w) (-2(-4 + 2w) + -7u * (-4 + 2w) + 3w * (-4 + 2w)) = 0 ((-4 * -2 + 2w * -2) + -7u * (-4 + 2w) + 3w * (-4 + 2w)) = 0 ((8 + -4w) + -7u * (-4 + 2w) + 3w * (-4 + 2w)) = 0 (8 + -4w + (-4 * -7u + 2w * -7u) + 3w * (-4 + 2w)) = 0 (8 + -4w + (28u + -14uw) + 3w * (-4 + 2w)) = 0 (8 + -4w + 28u + -14uw + (-4 * 3w + 2w * 3w)) = 0 (8 + -4w + 28u + -14uw + (-12w + 6w2)) = 0 Reorder the terms: (8 + 28u + -14uw + -4w + -12w + 6w2) = 0 Combine like terms: -4w + -12w = -16w (8 + 28u + -14uw + -16w + 6w2) = 0 Solving 8 + 28u + -14uw + -16w + 6w2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 28u + -14uw + -16w + -8 + 6w2 = 0 + -8 Reorder the terms: 8 + -8 + 28u + -14uw + -16w + 6w2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 28u + -14uw + -16w + 6w2 = 0 + -8 28u + -14uw + -16w + 6w2 = 0 + -8 Combine like terms: 0 + -8 = -8 28u + -14uw + -16w + 6w2 = -8 Add '16w' to each side of the equation. 28u + -14uw + -16w + 16w + 6w2 = -8 + 16w Combine like terms: -16w + 16w = 0 28u + -14uw + 0 + 6w2 = -8 + 16w 28u + -14uw + 6w2 = -8 + 16w Add '-6w2' to each side of the equation. 28u + -14uw + 6w2 + -6w2 = -8 + 16w + -6w2 Combine like terms: 6w2 + -6w2 = 0 28u + -14uw + 0 = -8 + 16w + -6w2 28u + -14uw = -8 + 16w + -6w2 Reorder the terms: 8 + 28u + -14uw + -16w + 6w2 = -8 + 16w + -6w2 + 8 + -16w + 6w2 Reorder the terms: 8 + 28u + -14uw + -16w + 6w2 = -8 + 8 + 16w + -16w + -6w2 + 6w2 Combine like terms: -8 + 8 = 0 8 + 28u + -14uw + -16w + 6w2 = 0 + 16w + -16w + -6w2 + 6w2 8 + 28u + -14uw + -16w + 6w2 = 16w + -16w + -6w2 + 6w2 Combine like terms: 16w + -16w = 0 8 + 28u + -14uw + -16w + 6w2 = 0 + -6w2 + 6w2 8 + 28u + -14uw + -16w + 6w2 = -6w2 + 6w2 Combine like terms: -6w2 + 6w2 = 0 8 + 28u + -14uw + -16w + 6w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 14u + -7uw + -8w + 3w2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + 14u + -7uw + -8w + 3w2)' equal to zero and attempt to solve: Simplifying 4 + 14u + -7uw + -8w + 3w2 = 0 Solving 4 + 14u + -7uw + -8w + 3w2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 14u + -7uw + -8w + -4 + 3w2 = 0 + -4 Reorder the terms: 4 + -4 + 14u + -7uw + -8w + 3w2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 14u + -7uw + -8w + 3w2 = 0 + -4 14u + -7uw + -8w + 3w2 = 0 + -4 Combine like terms: 0 + -4 = -4 14u + -7uw + -8w + 3w2 = -4 Add '8w' to each side of the equation. 14u + -7uw + -8w + 8w + 3w2 = -4 + 8w Combine like terms: -8w + 8w = 0 14u + -7uw + 0 + 3w2 = -4 + 8w 14u + -7uw + 3w2 = -4 + 8w Add '-3w2' to each side of the equation. 14u + -7uw + 3w2 + -3w2 = -4 + 8w + -3w2 Combine like terms: 3w2 + -3w2 = 0 14u + -7uw + 0 = -4 + 8w + -3w2 14u + -7uw = -4 + 8w + -3w2 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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