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Simplifying (4x + -1y)(4x + -1y)(4x + -1y)(4x + -1y) = 0 Multiply (4x + -1y) * (4x + -1y) (4x * (4x + -1y) + -1y * (4x + -1y))(4x + -1y)(4x + -1y) = 0 ((4x * 4x + -1y * 4x) + -1y * (4x + -1y))(4x + -1y)(4x + -1y) = 0 Reorder the terms: ((-4xy + 16x2) + -1y * (4x + -1y))(4x + -1y)(4x + -1y) = 0 ((-4xy + 16x2) + -1y * (4x + -1y))(4x + -1y)(4x + -1y) = 0 (-4xy + 16x2 + (4x * -1y + -1y * -1y))(4x + -1y)(4x + -1y) = 0 (-4xy + 16x2 + (-4xy + 1y2))(4x + -1y)(4x + -1y) = 0 Reorder the terms: (-4xy + -4xy + 16x2 + 1y2)(4x + -1y)(4x + -1y) = 0 Combine like terms: -4xy + -4xy = -8xy (-8xy + 16x2 + 1y2)(4x + -1y)(4x + -1y) = 0 Multiply (-8xy + 16x2 + 1y2) * (4x + -1y) (-8xy * (4x + -1y) + 16x2 * (4x + -1y) + 1y2 * (4x + -1y))(4x + -1y) = 0 ((4x * -8xy + -1y * -8xy) + 16x2 * (4x + -1y) + 1y2 * (4x + -1y))(4x + -1y) = 0 Reorder the terms: ((8xy2 + -32x2y) + 16x2 * (4x + -1y) + 1y2 * (4x + -1y))(4x + -1y) = 0 ((8xy2 + -32x2y) + 16x2 * (4x + -1y) + 1y2 * (4x + -1y))(4x + -1y) = 0 (8xy2 + -32x2y + (4x * 16x2 + -1y * 16x2) + 1y2 * (4x + -1y))(4x + -1y) = 0 Reorder the terms: (8xy2 + -32x2y + (-16x2y + 64x3) + 1y2 * (4x + -1y))(4x + -1y) = 0 (8xy2 + -32x2y + (-16x2y + 64x3) + 1y2 * (4x + -1y))(4x + -1y) = 0 (8xy2 + -32x2y + -16x2y + 64x3 + (4x * 1y2 + -1y * 1y2))(4x + -1y) = 0 (8xy2 + -32x2y + -16x2y + 64x3 + (4xy2 + -1y3))(4x + -1y) = 0 Reorder the terms: (8xy2 + 4xy2 + -32x2y + -16x2y + 64x3 + -1y3)(4x + -1y) = 0 Combine like terms: 8xy2 + 4xy2 = 12xy2 (12xy2 + -32x2y + -16x2y + 64x3 + -1y3)(4x + -1y) = 0 Combine like terms: -32x2y + -16x2y = -48x2y (12xy2 + -48x2y + 64x3 + -1y3)(4x + -1y) = 0 Multiply (12xy2 + -48x2y + 64x3 + -1y3) * (4x + -1y) (12xy2 * (4x + -1y) + -48x2y * (4x + -1y) + 64x3 * (4x + -1y) + -1y3 * (4x + -1y)) = 0 ((4x * 12xy2 + -1y * 12xy2) + -48x2y * (4x + -1y) + 64x3 * (4x + -1y) + -1y3 * (4x + -1y)) = 0 Reorder the terms: ((-12xy3 + 48x2y2) + -48x2y * (4x + -1y) + 64x3 * (4x + -1y) + -1y3 * (4x + -1y)) = 0 ((-12xy3 + 48x2y2) + -48x2y * (4x + -1y) + 64x3 * (4x + -1y) + -1y3 * (4x + -1y)) = 0 (-12xy3 + 48x2y2 + (4x * -48x2y + -1y * -48x2y) + 64x3 * (4x + -1y) + -1y3 * (4x + -1y)) = 0 Reorder the terms: (-12xy3 + 48x2y2 + (48x2y2 + -192x3y) + 64x3 * (4x + -1y) + -1y3 * (4x + -1y)) = 0 (-12xy3 + 48x2y2 + (48x2y2 + -192x3y) + 64x3 * (4x + -1y) + -1y3 * (4x + -1y)) = 0 (-12xy3 + 48x2y2 + 48x2y2 + -192x3y + (4x * 64x3 + -1y * 64x3) + -1y3 * (4x + -1y)) = 0 Reorder the terms: (-12xy3 + 48x2y2 + 48x2y2 + -192x3y + (-64x3y + 256x4) + -1y3 * (4x + -1y)) = 0 (-12xy3 + 48x2y2 + 48x2y2 + -192x3y + (-64x3y + 256x4) + -1y3 * (4x + -1y)) = 0 (-12xy3 + 48x2y2 + 48x2y2 + -192x3y + -64x3y + 256x4 + (4x * -1y3 + -1y * -1y3)) = 0 (-12xy3 + 48x2y2 + 48x2y2 + -192x3y + -64x3y + 256x4 + (-4xy3 + 1y4)) = 0 Reorder the terms: (-12xy3 + -4xy3 + 48x2y2 + 48x2y2 + -192x3y + -64x3y + 256x4 + 1y4) = 0 Combine like terms: -12xy3 + -4xy3 = -16xy3 (-16xy3 + 48x2y2 + 48x2y2 + -192x3y + -64x3y + 256x4 + 1y4) = 0 Combine like terms: 48x2y2 + 48x2y2 = 96x2y2 (-16xy3 + 96x2y2 + -192x3y + -64x3y + 256x4 + 1y4) = 0 Combine like terms: -192x3y + -64x3y = -256x3y (-16xy3 + 96x2y2 + -256x3y + 256x4 + 1y4) = 0 Solving -16xy3 + 96x2y2 + -256x3y + 256x4 + 1y4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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