(2x+y)(2x+y)(2x+y)(2x+y)(2x+y)=1024

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Solution for (2x+y)(2x+y)(2x+y)(2x+y)(2x+y)=1024 equation: 


Simplifying
(2x + y)(2x + y)(2x + y)(2x + y)(2x + y) = 1024

Multiply (2x + y) * (2x + y)
(2x * (2x + y) + y(2x + y))(2x + y)(2x + y)(2x + y) = 1024
((2x * 2x + y * 2x) + y(2x + y))(2x + y)(2x + y)(2x + y) = 1024

Reorder the terms:
((2xy + 4x2) + y(2x + y))(2x + y)(2x + y)(2x + y) = 1024
((2xy + 4x2) + y(2x + y))(2x + y)(2x + y)(2x + y) = 1024
(2xy + 4x2 + (2x * y + y * y))(2x + y)(2x + y)(2x + y) = 1024
(2xy + 4x2 + (2xy + y2))(2x + y)(2x + y)(2x + y) = 1024

Reorder the terms:
(2xy + 2xy + 4x2 + y2)(2x + y)(2x + y)(2x + y) = 1024

Combine like terms: 2xy + 2xy = 4xy
(4xy + 4x2 + y2)(2x + y)(2x + y)(2x + y) = 1024

Multiply (4xy + 4x2 + y2) * (2x + y)
(4xy * (2x + y) + 4x2 * (2x + y) + y2(2x + y))(2x + y)(2x + y) = 1024
((2x * 4xy + y * 4xy) + 4x2 * (2x + y) + y2(2x + y))(2x + y)(2x + y) = 1024

Reorder the terms:
((4xy2 + 8x2y) + 4x2 * (2x + y) + y2(2x + y))(2x + y)(2x + y) = 1024
((4xy2 + 8x2y) + 4x2 * (2x + y) + y2(2x + y))(2x + y)(2x + y) = 1024
(4xy2 + 8x2y + (2x * 4x2 + y * 4x2) + y2(2x + y))(2x + y)(2x + y) = 1024

Reorder the terms:
(4xy2 + 8x2y + (4x2y + 8x3) + y2(2x + y))(2x + y)(2x + y) = 1024
(4xy2 + 8x2y + (4x2y + 8x3) + y2(2x + y))(2x + y)(2x + y) = 1024
(4xy2 + 8x2y + 4x2y + 8x3 + (2x * y2 + y * y2))(2x + y)(2x + y) = 1024
(4xy2 + 8x2y + 4x2y + 8x3 + (2xy2 + y3))(2x + y)(2x + y) = 1024

Reorder the terms:
(4xy2 + 2xy2 + 8x2y + 4x2y + 8x3 + y3)(2x + y)(2x + y) = 1024

Combine like terms: 4xy2 + 2xy2 = 6xy2
(6xy2 + 8x2y + 4x2y + 8x3 + y3)(2x + y)(2x + y) = 1024

Combine like terms: 8x2y + 4x2y = 12x2y
(6xy2 + 12x2y + 8x3 + y3)(2x + y)(2x + y) = 1024

Multiply (6xy2 + 12x2y + 8x3 + y3) * (2x + y)
(6xy2 * (2x + y) + 12x2y * (2x + y) + 8x3 * (2x + y) + y3(2x + y))(2x + y) = 1024
((2x * 6xy2 + y * 6xy2) + 12x2y * (2x + y) + 8x3 * (2x + y) + y3(2x + y))(2x + y) = 1024

Reorder the terms:
((6xy3 + 12x2y2) + 12x2y * (2x + y) + 8x3 * (2x + y) + y3(2x + y))(2x + y) = 1024
((6xy3 + 12x2y2) + 12x2y * (2x + y) + 8x3 * (2x + y) + y3(2x + y))(2x + y) = 1024
(6xy3 + 12x2y2 + (2x * 12x2y + y * 12x2y) + 8x3 * (2x + y) + y3(2x + y))(2x + y) = 1024

Reorder the terms:
(6xy3 + 12x2y2 + (12x2y2 + 24x3y) + 8x3 * (2x + y) + y3(2x + y))(2x + y) = 1024
(6xy3 + 12x2y2 + (12x2y2 + 24x3y) + 8x3 * (2x + y) + y3(2x + y))(2x + y) = 1024
(6xy3 + 12x2y2 + 12x2y2 + 24x3y + (2x * 8x3 + y * 8x3) + y3(2x + y))(2x + y) = 1024

Reorder the terms:
(6xy3 + 12x2y2 + 12x2y2 + 24x3y + (8x3y + 16x4) + y3(2x + y))(2x + y) = 1024
(6xy3 + 12x2y2 + 12x2y2 + 24x3y + (8x3y + 16x4) + y3(2x + y))(2x + y) = 1024
(6xy3 + 12x2y2 + 12x2y2 + 24x3y + 8x3y + 16x4 + (2x * y3 + y * y3))(2x + y) = 1024
(6xy3 + 12x2y2 + 12x2y2 + 24x3y + 8x3y + 16x4 + (2xy3 + y4))(2x + y) = 1024

Reorder the terms:
(6xy3 + 2xy3 + 12x2y2 + 12x2y2 + 24x3y + 8x3y + 16x4 + y4)(2x + y) = 1024

Combine like terms: 6xy3 + 2xy3 = 8xy3
(8xy3 + 12x2y2 + 12x2y2 + 24x3y + 8x3y + 16x4 + y4)(2x + y) = 1024

Combine like terms: 12x2y2 + 12x2y2 = 24x2y2
(8xy3 + 24x2y2 + 24x3y + 8x3y + 16x4 + y4)(2x + y) = 1024

Combine like terms: 24x3y + 8x3y = 32x3y
(8xy3 + 24x2y2 + 32x3y + 16x4 + y4)(2x + y) = 1024

Multiply (8xy3 + 24x2y2 + 32x3y + 16x4 + y4) * (2x + y)
(8xy3 * (2x + y) + 24x2y2 * (2x + y) + 32x3y * (2x + y) + 16x4 * (2x + y) + y4(2x + y)) = 1024
((2x * 8xy3 + y * 8xy3) + 24x2y2 * (2x + y) + 32x3y * (2x + y) + 16x4 * (2x + y) + y4(2x + y)) = 1024

Reorder the terms:
((8xy4 + 16x2y3) + 24x2y2 * (2x + y) + 32x3y * (2x + y) + 16x4 * (2x + y) + y4(2x + y)) = 1024
((8xy4 + 16x2y3) + 24x2y2 * (2x + y) + 32x3y * (2x + y) + 16x4 * (2x + y) + y4(2x + y)) = 1024
(8xy4 + 16x2y3 + (2x * 24x2y2 + y * 24x2y2) + 32x3y * (2x + y) + 16x4 * (2x + y) + y4(2x + y)) = 1024

Reorder the terms:
(8xy4 + 16x2y3 + (24x2y3 + 48x3y2) + 32x3y * (2x + y) + 16x4 * (2x + y) + y4(2x + y)) = 1024
(8xy4 + 16x2y3 + (24x2y3 + 48x3y2) + 32x3y * (2x + y) + 16x4 * (2x + y) + y4(2x + y)) = 1024
(8xy4 + 16x2y3 + 24x2y3 + 48x3y2 + (2x * 32x3y + y * 32x3y) + 16x4 * (2x + y) + y4(2x + y)) = 1024

Reorder the terms:
(8xy4 + 16x2y3 + 24x2y3 + 48x3y2 + (32x3y2 + 64x4y) + 16x4 * (2x + y) + y4(2x + y)) = 1024
(8xy4 + 16x2y3 + 24x2y3 + 48x3y2 + (32x3y2 + 64x4y) + 16x4 * (2x + y) + y4(2x + y)) = 1024
(8xy4 + 16x2y3 + 24x2y3 + 48x3y2 + 32x3y2 + 64x4y + (2x * 16x4 + y * 16x4) + y4(2x + y)) = 1024

Reorder the terms:
(8xy4 + 16x2y3 + 24x2y3 + 48x3y2 + 32x3y2 + 64x4y + (16x4y + 32x5) + y4(2x + y)) = 1024
(8xy4 + 16x2y3 + 24x2y3 + 48x3y2 + 32x3y2 + 64x4y + (16x4y + 32x5) + y4(2x + y)) = 1024
(8xy4 + 16x2y3 + 24x2y3 + 48x3y2 + 32x3y2 + 64x4y + 16x4y + 32x5 + (2x * y4 + y * y4)) = 1024
(8xy4 + 16x2y3 + 24x2y3 + 48x3y2 + 32x3y2 + 64x4y + 16x4y + 32x5 + (2xy4 + y5)) = 1024

Reorder the terms:
(8xy4 + 2xy4 + 16x2y3 + 24x2y3 + 48x3y2 + 32x3y2 + 64x4y + 16x4y + 32x5 + y5) = 1024

Combine like terms: 8xy4 + 2xy4 = 10xy4
(10xy4 + 16x2y3 + 24x2y3 + 48x3y2 + 32x3y2 + 64x4y + 16x4y + 32x5 + y5) = 1024

Combine like terms: 16x2y3 + 24x2y3 = 40x2y3
(10xy4 + 40x2y3 + 48x3y2 + 32x3y2 + 64x4y + 16x4y + 32x5 + y5) = 1024

Combine like terms: 48x3y2 + 32x3y2 = 80x3y2
(10xy4 + 40x2y3 + 80x3y2 + 64x4y + 16x4y + 32x5 + y5) = 1024

Combine like terms: 64x4y + 16x4y = 80x4y
(10xy4 + 40x2y3 + 80x3y2 + 80x4y + 32x5 + y5) = 1024

Solving
10xy4 + 40x2y3 + 80x3y2 + 80x4y + 32x5 + y5 = 1024

Solving for variable 'x'.

Reorder the terms:
-1024 + 10xy4 + 40x2y3 + 80x3y2 + 80x4y + 32x5 + y5 = 1024 + -1024

Combine like terms: 1024 + -1024 = 0
-1024 + 10xy4 + 40x2y3 + 80x3y2 + 80x4y + 32x5 + y5 = 0

The solution to this equation could not be determined.

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