(x-4y)2+4(x+y)(x-5y)+x(5x+5y+5)=

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Solution for (x-4y)2+4(x+y)(x-5y)+x(5x+5y+5)= equation: 


Simplifying
(x + -4y) * 2 + 4(x + y)(x + -5y) + x(5x + 5y + 5) = 0

Reorder the terms for easier multiplication:
2(x + -4y) + 4(x + y)(x + -5y) + x(5x + 5y + 5) = 0
(x * 2 + -4y * 2) + 4(x + y)(x + -5y) + x(5x + 5y + 5) = 0
(2x + -8y) + 4(x + y)(x + -5y) + x(5x + 5y + 5) = 0

Multiply (x + y) * (x + -5y)
2x + -8y + 4(x(x + -5y) + y(x + -5y)) + x(5x + 5y + 5) = 0
2x + -8y + 4((x * x + -5y * x) + y(x + -5y)) + x(5x + 5y + 5) = 0

Reorder the terms:
2x + -8y + 4((-5xy + x2) + y(x + -5y)) + x(5x + 5y + 5) = 0
2x + -8y + 4((-5xy + x2) + y(x + -5y)) + x(5x + 5y + 5) = 0
2x + -8y + 4(-5xy + x2 + (x * y + -5y * y)) + x(5x + 5y + 5) = 0
2x + -8y + 4(-5xy + x2 + (xy + -5y2)) + x(5x + 5y + 5) = 0

Reorder the terms:
2x + -8y + 4(-5xy + xy + x2 + -5y2) + x(5x + 5y + 5) = 0

Combine like terms: -5xy + xy = -4xy
2x + -8y + 4(-4xy + x2 + -5y2) + x(5x + 5y + 5) = 0
2x + -8y + (-4xy * 4 + x2 * 4 + -5y2 * 4) + x(5x + 5y + 5) = 0
2x + -8y + (-16xy + 4x2 + -20y2) + x(5x + 5y + 5) = 0

Reorder the terms:
2x + -8y + -16xy + 4x2 + -20y2 + x(5 + 5x + 5y) = 0
2x + -8y + -16xy + 4x2 + -20y2 + (5 * x + 5x * x + 5y * x) = 0

Reorder the terms:
2x + -8y + -16xy + 4x2 + -20y2 + (5x + 5xy + 5x2) = 0
2x + -8y + -16xy + 4x2 + -20y2 + (5x + 5xy + 5x2) = 0

Reorder the terms:
2x + 5x + -16xy + 5xy + 4x2 + 5x2 + -8y + -20y2 = 0

Combine like terms: 2x + 5x = 7x
7x + -16xy + 5xy + 4x2 + 5x2 + -8y + -20y2 = 0

Combine like terms: -16xy + 5xy = -11xy
7x + -11xy + 4x2 + 5x2 + -8y + -20y2 = 0

Combine like terms: 4x2 + 5x2 = 9x2
7x + -11xy + 9x2 + -8y + -20y2 = 0

Solving
7x + -11xy + 9x2 + -8y + -20y2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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