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Simplifying (6w + 3u + 1)(4w + -7) = 0 Reorder the terms: (1 + 3u + 6w)(4w + -7) = 0 Reorder the terms: (1 + 3u + 6w)(-7 + 4w) = 0 Multiply (1 + 3u + 6w) * (-7 + 4w) (1(-7 + 4w) + 3u * (-7 + 4w) + 6w * (-7 + 4w)) = 0 ((-7 * 1 + 4w * 1) + 3u * (-7 + 4w) + 6w * (-7 + 4w)) = 0 ((-7 + 4w) + 3u * (-7 + 4w) + 6w * (-7 + 4w)) = 0 (-7 + 4w + (-7 * 3u + 4w * 3u) + 6w * (-7 + 4w)) = 0 (-7 + 4w + (-21u + 12uw) + 6w * (-7 + 4w)) = 0 (-7 + 4w + -21u + 12uw + (-7 * 6w + 4w * 6w)) = 0 (-7 + 4w + -21u + 12uw + (-42w + 24w2)) = 0 Reorder the terms: (-7 + -21u + 12uw + 4w + -42w + 24w2) = 0 Combine like terms: 4w + -42w = -38w (-7 + -21u + 12uw + -38w + 24w2) = 0 Solving -7 + -21u + 12uw + -38w + 24w2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -21u + 12uw + -38w + 7 + 24w2 = 0 + 7 Reorder the terms: -7 + 7 + -21u + 12uw + -38w + 24w2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -21u + 12uw + -38w + 24w2 = 0 + 7 -21u + 12uw + -38w + 24w2 = 0 + 7 Combine like terms: 0 + 7 = 7 -21u + 12uw + -38w + 24w2 = 7 Add '38w' to each side of the equation. -21u + 12uw + -38w + 38w + 24w2 = 7 + 38w Combine like terms: -38w + 38w = 0 -21u + 12uw + 0 + 24w2 = 7 + 38w -21u + 12uw + 24w2 = 7 + 38w Add '-24w2' to each side of the equation. -21u + 12uw + 24w2 + -24w2 = 7 + 38w + -24w2 Combine like terms: 24w2 + -24w2 = 0 -21u + 12uw + 0 = 7 + 38w + -24w2 -21u + 12uw = 7 + 38w + -24w2 Reorder the terms: -7 + -21u + 12uw + -38w + 24w2 = 7 + 38w + -24w2 + -7 + -38w + 24w2 Reorder the terms: -7 + -21u + 12uw + -38w + 24w2 = 7 + -7 + 38w + -38w + -24w2 + 24w2 Combine like terms: 7 + -7 = 0 -7 + -21u + 12uw + -38w + 24w2 = 0 + 38w + -38w + -24w2 + 24w2 -7 + -21u + 12uw + -38w + 24w2 = 38w + -38w + -24w2 + 24w2 Combine like terms: 38w + -38w = 0 -7 + -21u + 12uw + -38w + 24w2 = 0 + -24w2 + 24w2 -7 + -21u + 12uw + -38w + 24w2 = -24w2 + 24w2 Combine like terms: -24w2 + 24w2 = 0 -7 + -21u + 12uw + -38w + 24w2 = 0 The solution to this equation could not be determined.
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