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Simplifying (W + -3)(w + -3)(w + -3)(w + -3)(w + -3) = 0 Reorder the terms: (-3 + W)(w + -3)(w + -3)(w + -3)(w + -3) = 0 Reorder the terms: (-3 + W)(-3 + w)(w + -3)(w + -3)(w + -3) = 0 Reorder the terms: (-3 + W)(-3 + w)(-3 + w)(w + -3)(w + -3) = 0 Reorder the terms: (-3 + W)(-3 + w)(-3 + w)(-3 + w)(w + -3) = 0 Reorder the terms: (-3 + W)(-3 + w)(-3 + w)(-3 + w)(-3 + w) = 0 Multiply (-3 + W) * (-3 + w) (-3(-3 + w) + W(-3 + w))(-3 + w)(-3 + w)(-3 + w) = 0 ((-3 * -3 + w * -3) + W(-3 + w))(-3 + w)(-3 + w)(-3 + w) = 0 ((9 + -3w) + W(-3 + w))(-3 + w)(-3 + w)(-3 + w) = 0 (9 + -3w + (-3 * W + w * W))(-3 + w)(-3 + w)(-3 + w) = 0 (9 + -3w + (-3W + wW))(-3 + w)(-3 + w)(-3 + w) = 0 Reorder the terms: (9 + -3W + -3w + wW)(-3 + w)(-3 + w)(-3 + w) = 0 (9 + -3W + -3w + wW)(-3 + w)(-3 + w)(-3 + w) = 0 Multiply (9 + -3W + -3w + wW) * (-3 + w) (9(-3 + w) + -3W * (-3 + w) + -3w * (-3 + w) + wW(-3 + w))(-3 + w)(-3 + w) = 0 ((-3 * 9 + w * 9) + -3W * (-3 + w) + -3w * (-3 + w) + wW(-3 + w))(-3 + w)(-3 + w) = 0 ((-27 + 9w) + -3W * (-3 + w) + -3w * (-3 + w) + wW(-3 + w))(-3 + w)(-3 + w) = 0 (-27 + 9w + (-3 * -3W + w * -3W) + -3w * (-3 + w) + wW(-3 + w))(-3 + w)(-3 + w) = 0 (-27 + 9w + (9W + -3wW) + -3w * (-3 + w) + wW(-3 + w))(-3 + w)(-3 + w) = 0 (-27 + 9w + 9W + -3wW + (-3 * -3w + w * -3w) + wW(-3 + w))(-3 + w)(-3 + w) = 0 (-27 + 9w + 9W + -3wW + (9w + -3w2) + wW(-3 + w))(-3 + w)(-3 + w) = 0 (-27 + 9w + 9W + -3wW + 9w + -3w2 + (-3 * wW + w * wW))(-3 + w)(-3 + w) = 0 (-27 + 9w + 9W + -3wW + 9w + -3w2 + (-3wW + w2W))(-3 + w)(-3 + w) = 0 Reorder the terms: (-27 + 9W + 9w + 9w + -3wW + -3wW + -3w2 + w2W)(-3 + w)(-3 + w) = 0 Combine like terms: 9w + 9w = 18w (-27 + 9W + 18w + -3wW + -3wW + -3w2 + w2W)(-3 + w)(-3 + w) = 0 Combine like terms: -3wW + -3wW = -6wW (-27 + 9W + 18w + -6wW + -3w2 + w2W)(-3 + w)(-3 + w) = 0 Multiply (-27 + 9W + 18w + -6wW + -3w2 + w2W) * (-3 + w) (-27(-3 + w) + 9W * (-3 + w) + 18w * (-3 + w) + -6wW * (-3 + w) + -3w2 * (-3 + w) + w2W(-3 + w))(-3 + w) = 0 ((-3 * -27 + w * -27) + 9W * (-3 + w) + 18w * (-3 + w) + -6wW * (-3 + w) + -3w2 * (-3 + w) + w2W(-3 + w))(-3 + w) = 0 ((81 + -27w) + 9W * (-3 + w) + 18w * (-3 + w) + -6wW * (-3 + w) + -3w2 * (-3 + w) + w2W(-3 + w))(-3 + w) = 0 (81 + -27w + (-3 * 9W + w * 9W) + 18w * (-3 + w) + -6wW * (-3 + w) + -3w2 * (-3 + w) + w2W(-3 + w))(-3 + w) = 0 (81 + -27w + (-27W + 9wW) + 18w * (-3 + w) + -6wW * (-3 + w) + -3w2 * (-3 + w) + w2W(-3 + w))(-3 + w) = 0 (81 + -27w + -27W + 9wW + (-3 * 18w + w * 18w) + -6wW * (-3 + w) + -3w2 * (-3 + w) + w2W(-3 + w))(-3 + w) = 0 (81 + -27w + -27W + 9wW + (-54w + 18w2) + -6wW * (-3 + w) + -3w2 * (-3 + w) + w2W(-3 + w))(-3 + w) = 0 (81 + -27w + -27W + 9wW + -54w + 18w2 + (-3 * -6wW + w * -6wW) + -3w2 * (-3 + w) + w2W(-3 + w))(-3 + w) = 0 (81 + -27w + -27W + 9wW + -54w + 18w2 + (18wW + -6w2W) + -3w2 * (-3 + w) + w2W(-3 + w))(-3 + w) = 0 (81 + -27w + -27W + 9wW + -54w + 18w2 + 18wW + -6w2W + (-3 * -3w2 + w * -3w2) + w2W(-3 + w))(-3 + w) = 0 (81 + -27w + -27W + 9wW + -54w + 18w2 + 18wW + -6w2W + (9w2 + -3w3) + w2W(-3 + w))(-3 + w) = 0 (81 + -27w + -27W + 9wW + -54w + 18w2 + 18wW + -6w2W + 9w2 + -3w3 + (-3 * w2W + w * w2W))(-3 + w) = 0 (81 + -27w + -27W + 9wW + -54w + 18w2 + 18wW + -6w2W + 9w2 + -3w3 + (-3w2W + w3W))(-3 + w) = 0 Reorder the terms: (81 + -27W + -27w + -54w + 9wW + 18wW + 18w2 + 9w2 + -6w2W + -3w2W + -3w3 + w3W)(-3 + w) = 0 Combine like terms: -27w + -54w = -81w (81 + -27W + -81w + 9wW + 18wW + 18w2 + 9w2 + -6w2W + -3w2W + -3w3 + w3W)(-3 + w) = 0 Combine like terms: 9wW + 18wW = 27wW (81 + -27W + -81w + 27wW + 18w2 + 9w2 + -6w2W + -3w2W + -3w3 + w3W)(-3 + w) = 0 Combine like terms: 18w2 + 9w2 = 27w2 (81 + -27W + -81w + 27wW + 27w2 + -6w2W + -3w2W + -3w3 + w3W)(-3 + w) = 0 Combine like terms: -6w2W + -3w2W = -9w2W (81 + -27W + -81w + 27wW + 27w2 + -9w2W + -3w3 + w3W)(-3 + w) = 0 Multiply (81 + -27W + -81w + 27wW + 27w2 + -9w2W + -3w3 + w3W) * (-3 + w) (81(-3 + w) + -27W * (-3 + w) + -81w * (-3 + w) + 27wW * (-3 + w) + 27w2 * (-3 + w) + -9w2W * (-3 + w) + -3w3 * (-3 + w) + w3W(-3 + w)) = 0 ((-3 * 81 + w * 81) + -27W * (-3 + w) + -81w * (-3 + w) + 27wW * (-3 + w) + 27w2 * (-3 + w) + -9w2W * (-3 + w) + -3w3 * (-3 + w) + w3W(-3 + w)) = 0 ((-243 + 81w) + -27W * (-3 + w) + -81w * (-3 + w) + 27wW * (-3 + w) + 27w2 * (-3 + w) + -9w2W * (-3 + w) + -3w3 * (-3 + w) + w3W(-3 + w)) = 0 (-243 + 81w + (-3 * -27W + w * -27W) + -81w * (-3 + w) + 27wW * (-3 + w) + 27w2 * (-3 + w) + -9w2W * (-3 + w) + -3w3 * (-3 + w) + w3W(-3 + w)) = 0 (-243 + 81w + (81W + -27wW) + -81w * (-3 + w) + 27wW * (-3 + w) + 27w2 * (-3 + w) + -9w2W * (-3 + w) + -3w3 * (-3 + w) + w3W(-3 + w)) = 0 (-243 + 81w + 81W + -27wW + (-3 * -81w + w * -81w) + 27wW * (-3 + w) + 27w2 * (-3 + w) + -9w2W * (-3 + w) + -3w3 * (-3 + w) + w3W(-3 + w)) = 0 (-243 + 81w + 81W + -27wW + (243w + -81w2) + 27wW * (-3 + w) + 27w2 * (-3 + w) + -9w2W * (-3 + w) + -3w3 * (-3 + w) + w3W(-3 + w)) = 0 (-243 + 81w + 81W + -27wW + 243w + -81w2 + (-3 * 27wW + w * 27wW) + 27w2 * (-3 + w) + -9w2W * (-3 + w) + -3w3 * (-3 + w) + w3W(-3 + w)) = 0 (-243 + 81w + 81W + -27wW + 243w + -81w2 + (-81wW + 27w2W) + 27w2 * (-3 + w) + -9w2W * (-3 + w) + -3w3 * (-3 + w) + w3W(-3 + w)) = 0 (-243 + 81w + 81W + -27wW + 243w + -81w2 + -81wW + 27w2W + (-3 * 27w2 + w * 27w2) + -9w2W * (-3 + w) + -3w3 * (-3 + w) + w3W(-3 + w)) = 0 (-243 + 81w + 81W + -27wW + 243w + -81w2 + -81wW + 27w2W + (-81w2 + 27w3) + -9w2W * (-3 + w) + -3w3 * (-3 + w) + w3W(-3 + w)) = 0 (-243 + 81w + 81W + -27wW + 243w + -81w2 + -81wW + 27w2W + -81w2 + 27w3 + (-3 * -9w2W + w * -9w2W) + -3w3 * (-3 + w) + w3W(-3 + w)) = 0 (-243 + 81w + 81W + -27wW + 243w + -81w2 + -81wW + 27w2W + -81w2 + 27w3 + (27w2W + -9w3W) + -3w3 * (-3 + w) + w3W(-3 + w)) = 0 (-243 + 81w + 81W + -27wW + 243w + -81w2 + -81wW + 27w2W + -81w2 + 27w3 + 27w2W + -9w3W + (-3 * -3w3 + w * -3w3) + w3W(-3 + w)) = 0 (-243 + 81w + 81W + -27wW + 243w + -81w2 + -81wW + 27w2W + -81w2 + 27w3 + 27w2W + -9w3W + (9w3 + -3w4) + w3W(-3 + w)) = 0 (-243 + 81w + 81W + -27wW + 243w + -81w2 + -81wW + 27w2W + -81w2 + 27w3 + 27w2W + -9w3W + 9w3 + -3w4 + (-3 * w3W + w * w3W)) = 0 (-243 + 81w + 81W + -27wW + 243w + -81w2 + -81wW + 27w2W + -81w2 + 27w3 + 27w2W + -9w3W + 9w3 + -3w4 + (-3w3W + w4W)) = 0 Reorder the terms: (-243 + 81W + 81w + 243w + -27wW + -81wW + -81w2 + -81w2 + 27w2W + 27w2W + 27w3 + 9w3 + -9w3W + -3w3W + -3w4 + w4W) = 0 Combine like terms: 81w + 243w = 324w (-243 + 81W + 324w + -27wW + -81wW + -81w2 + -81w2 + 27w2W + 27w2W + 27w3 + 9w3 + -9w3W + -3w3W + -3w4 + w4W) = 0 Combine like terms: -27wW + -81wW = -108wW (-243 + 81W + 324w + -108wW + -81w2 + -81w2 + 27w2W + 27w2W + 27w3 + 9w3 + -9w3W + -3w3W + -3w4 + w4W) = 0 Combine like terms: -81w2 + -81w2 = -162w2 (-243 + 81W + 324w + -108wW + -162w2 + 27w2W + 27w2W + 27w3 + 9w3 + -9w3W + -3w3W + -3w4 + w4W) = 0 Combine like terms: 27w2W + 27w2W = 54w2W (-243 + 81W + 324w + -108wW + -162w2 + 54w2W + 27w3 + 9w3 + -9w3W + -3w3W + -3w4 + w4W) = 0 Combine like terms: 27w3 + 9w3 = 36w3 (-243 + 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -9w3W + -3w3W + -3w4 + w4W) = 0 Combine like terms: -9w3W + -3w3W = -12w3W (-243 + 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W) = 0 Solving -243 + 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 0 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '243' to each side of the equation. -243 + 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + 243 + w4W = 0 + 243 Reorder the terms: -243 + 243 + 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 0 + 243 Combine like terms: -243 + 243 = 0 0 + 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 0 + 243 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 0 + 243 Combine like terms: 0 + 243 = 243 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 243 Add '-324w' to each side of the equation. 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + -324w + w4W = 243 + -324w Reorder the terms: 81W + 324w + -324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 243 + -324w Combine like terms: 324w + -324w = 0 81W + 0 + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 243 + -324w 81W + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 243 + -324w Add '162w2' to each side of the equation. 81W + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + 162w2 + w4W = 243 + -324w + 162w2 Reorder the terms: 81W + -108wW + -162w2 + 162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 243 + -324w + 162w2 Combine like terms: -162w2 + 162w2 = 0 81W + -108wW + 0 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 243 + -324w + 162w2 81W + -108wW + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 243 + -324w + 162w2 Add '-36w3' to each side of the equation. 81W + -108wW + 54w2W + 36w3 + -12w3W + -3w4 + -36w3 + w4W = 243 + -324w + 162w2 + -36w3 Reorder the terms: 81W + -108wW + 54w2W + 36w3 + -36w3 + -12w3W + -3w4 + w4W = 243 + -324w + 162w2 + -36w3 Combine like terms: 36w3 + -36w3 = 0 81W + -108wW + 54w2W + 0 + -12w3W + -3w4 + w4W = 243 + -324w + 162w2 + -36w3 81W + -108wW + 54w2W + -12w3W + -3w4 + w4W = 243 + -324w + 162w2 + -36w3 Add '3w4' to each side of the equation. 81W + -108wW + 54w2W + -12w3W + -3w4 + 3w4 + w4W = 243 + -324w + 162w2 + -36w3 + 3w4 Combine like terms: -3w4 + 3w4 = 0 81W + -108wW + 54w2W + -12w3W + 0 + w4W = 243 + -324w + 162w2 + -36w3 + 3w4 81W + -108wW + 54w2W + -12w3W + w4W = 243 + -324w + 162w2 + -36w3 + 3w4 Reorder the terms: -243 + 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 243 + -324w + 162w2 + -36w3 + 3w4 + -243 + 324w + -162w2 + 36w3 + -3w4 Reorder the terms: -243 + 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 243 + -243 + -324w + 324w + 162w2 + -162w2 + -36w3 + 36w3 + 3w4 + -3w4 Combine like terms: 243 + -243 = 0 -243 + 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 0 + -324w + 324w + 162w2 + -162w2 + -36w3 + 36w3 + 3w4 + -3w4 -243 + 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = -324w + 324w + 162w2 + -162w2 + -36w3 + 36w3 + 3w4 + -3w4 Combine like terms: -324w + 324w = 0 -243 + 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 0 + 162w2 + -162w2 + -36w3 + 36w3 + 3w4 + -3w4 -243 + 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 162w2 + -162w2 + -36w3 + 36w3 + 3w4 + -3w4 Combine like terms: 162w2 + -162w2 = 0 -243 + 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 0 + -36w3 + 36w3 + 3w4 + -3w4 -243 + 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = -36w3 + 36w3 + 3w4 + -3w4 Combine like terms: -36w3 + 36w3 = 0 -243 + 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 0 + 3w4 + -3w4 -243 + 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 3w4 + -3w4 Combine like terms: 3w4 + -3w4 = 0 -243 + 81W + 324w + -108wW + -162w2 + 54w2W + 36w3 + -12w3W + -3w4 + w4W = 0 The solution to this equation could not be determined.
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