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Simplifying (6x + -7y)(6x + -7y)(6x + -7y) + (8x + y)(x + 8y)(4x + -4y) = 0 Multiply (6x + -7y) * (6x + -7y) (6x * (6x + -7y) + -7y * (6x + -7y))(6x + -7y) + (8x + y)(x + 8y)(4x + -4y) = 0 ((6x * 6x + -7y * 6x) + -7y * (6x + -7y))(6x + -7y) + (8x + y)(x + 8y)(4x + -4y) = 0 Reorder the terms: ((-42xy + 36x2) + -7y * (6x + -7y))(6x + -7y) + (8x + y)(x + 8y)(4x + -4y) = 0 ((-42xy + 36x2) + -7y * (6x + -7y))(6x + -7y) + (8x + y)(x + 8y)(4x + -4y) = 0 (-42xy + 36x2 + (6x * -7y + -7y * -7y))(6x + -7y) + (8x + y)(x + 8y)(4x + -4y) = 0 (-42xy + 36x2 + (-42xy + 49y2))(6x + -7y) + (8x + y)(x + 8y)(4x + -4y) = 0 Reorder the terms: (-42xy + -42xy + 36x2 + 49y2)(6x + -7y) + (8x + y)(x + 8y)(4x + -4y) = 0 Combine like terms: -42xy + -42xy = -84xy (-84xy + 36x2 + 49y2)(6x + -7y) + (8x + y)(x + 8y)(4x + -4y) = 0 Multiply (-84xy + 36x2 + 49y2) * (6x + -7y) (-84xy * (6x + -7y) + 36x2 * (6x + -7y) + 49y2 * (6x + -7y)) + (8x + y)(x + 8y)(4x + -4y) = 0 ((6x * -84xy + -7y * -84xy) + 36x2 * (6x + -7y) + 49y2 * (6x + -7y)) + (8x + y)(x + 8y)(4x + -4y) = 0 Reorder the terms: ((588xy2 + -504x2y) + 36x2 * (6x + -7y) + 49y2 * (6x + -7y)) + (8x + y)(x + 8y)(4x + -4y) = 0 ((588xy2 + -504x2y) + 36x2 * (6x + -7y) + 49y2 * (6x + -7y)) + (8x + y)(x + 8y)(4x + -4y) = 0 (588xy2 + -504x2y + (6x * 36x2 + -7y * 36x2) + 49y2 * (6x + -7y)) + (8x + y)(x + 8y)(4x + -4y) = 0 Reorder the terms: (588xy2 + -504x2y + (-252x2y + 216x3) + 49y2 * (6x + -7y)) + (8x + y)(x + 8y)(4x + -4y) = 0 (588xy2 + -504x2y + (-252x2y + 216x3) + 49y2 * (6x + -7y)) + (8x + y)(x + 8y)(4x + -4y) = 0 (588xy2 + -504x2y + -252x2y + 216x3 + (6x * 49y2 + -7y * 49y2)) + (8x + y)(x + 8y)(4x + -4y) = 0 (588xy2 + -504x2y + -252x2y + 216x3 + (294xy2 + -343y3)) + (8x + y)(x + 8y)(4x + -4y) = 0 Reorder the terms: (588xy2 + 294xy2 + -504x2y + -252x2y + 216x3 + -343y3) + (8x + y)(x + 8y)(4x + -4y) = 0 Combine like terms: 588xy2 + 294xy2 = 882xy2 (882xy2 + -504x2y + -252x2y + 216x3 + -343y3) + (8x + y)(x + 8y)(4x + -4y) = 0 Combine like terms: -504x2y + -252x2y = -756x2y (882xy2 + -756x2y + 216x3 + -343y3) + (8x + y)(x + 8y)(4x + -4y) = 0 Multiply (8x + y) * (x + 8y) 882xy2 + -756x2y + 216x3 + -343y3 + (8x * (x + 8y) + y(x + 8y))(4x + -4y) = 0 882xy2 + -756x2y + 216x3 + -343y3 + ((x * 8x + 8y * 8x) + y(x + 8y))(4x + -4y) = 0 Reorder the terms: 882xy2 + -756x2y + 216x3 + -343y3 + ((64xy + 8x2) + y(x + 8y))(4x + -4y) = 0 882xy2 + -756x2y + 216x3 + -343y3 + ((64xy + 8x2) + y(x + 8y))(4x + -4y) = 0 882xy2 + -756x2y + 216x3 + -343y3 + (64xy + 8x2 + (x * y + 8y * y))(4x + -4y) = 0 882xy2 + -756x2y + 216x3 + -343y3 + (64xy + 8x2 + (xy + 8y2))(4x + -4y) = 0 Reorder the terms: 882xy2 + -756x2y + 216x3 + -343y3 + (64xy + xy + 8x2 + 8y2)(4x + -4y) = 0 Combine like terms: 64xy + xy = 65xy 882xy2 + -756x2y + 216x3 + -343y3 + (65xy + 8x2 + 8y2)(4x + -4y) = 0 Multiply (65xy + 8x2 + 8y2) * (4x + -4y) 882xy2 + -756x2y + 216x3 + -343y3 + (65xy * (4x + -4y) + 8x2 * (4x + -4y) + 8y2 * (4x + -4y)) = 0 882xy2 + -756x2y + 216x3 + -343y3 + ((4x * 65xy + -4y * 65xy) + 8x2 * (4x + -4y) + 8y2 * (4x + -4y)) = 0 Reorder the terms: 882xy2 + -756x2y + 216x3 + -343y3 + ((-260xy2 + 260x2y) + 8x2 * (4x + -4y) + 8y2 * (4x + -4y)) = 0 882xy2 + -756x2y + 216x3 + -343y3 + ((-260xy2 + 260x2y) + 8x2 * (4x + -4y) + 8y2 * (4x + -4y)) = 0 882xy2 + -756x2y + 216x3 + -343y3 + (-260xy2 + 260x2y + (4x * 8x2 + -4y * 8x2) + 8y2 * (4x + -4y)) = 0 Reorder the terms: 882xy2 + -756x2y + 216x3 + -343y3 + (-260xy2 + 260x2y + (-32x2y + 32x3) + 8y2 * (4x + -4y)) = 0 882xy2 + -756x2y + 216x3 + -343y3 + (-260xy2 + 260x2y + (-32x2y + 32x3) + 8y2 * (4x + -4y)) = 0 882xy2 + -756x2y + 216x3 + -343y3 + (-260xy2 + 260x2y + -32x2y + 32x3 + (4x * 8y2 + -4y * 8y2)) = 0 882xy2 + -756x2y + 216x3 + -343y3 + (-260xy2 + 260x2y + -32x2y + 32x3 + (32xy2 + -32y3)) = 0 Reorder the terms: 882xy2 + -756x2y + 216x3 + -343y3 + (-260xy2 + 32xy2 + 260x2y + -32x2y + 32x3 + -32y3) = 0 Combine like terms: -260xy2 + 32xy2 = -228xy2 882xy2 + -756x2y + 216x3 + -343y3 + (-228xy2 + 260x2y + -32x2y + 32x3 + -32y3) = 0 Combine like terms: 260x2y + -32x2y = 228x2y 882xy2 + -756x2y + 216x3 + -343y3 + (-228xy2 + 228x2y + 32x3 + -32y3) = 0 Reorder the terms: 882xy2 + -228xy2 + -756x2y + 228x2y + 216x3 + 32x3 + -343y3 + -32y3 = 0 Combine like terms: 882xy2 + -228xy2 = 654xy2 654xy2 + -756x2y + 228x2y + 216x3 + 32x3 + -343y3 + -32y3 = 0 Combine like terms: -756x2y + 228x2y = -528x2y 654xy2 + -528x2y + 216x3 + 32x3 + -343y3 + -32y3 = 0 Combine like terms: 216x3 + 32x3 = 248x3 654xy2 + -528x2y + 248x3 + -343y3 + -32y3 = 0 Combine like terms: -343y3 + -32y3 = -375y3 654xy2 + -528x2y + 248x3 + -375y3 = 0 Solving 654xy2 + -528x2y + 248x3 + -375y3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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