[5y+(5x+4)][5y-(5x+4)]=0

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Solution for [5y+(5x+4)][5y-(5x+4)]=0 equation: 


Simplifying
[5y + (5x + 4)][5y + -1(5x + 4)] = 0

Reorder the terms:
[5y + (4 + 5x)][5y + -1(5x + 4)] = 0

Remove parenthesis around (4 + 5x)
[5y + 4 + 5x][5y + -1(5x + 4)] = 0

Reorder the terms:
[4 + 5x + 5y][5y + -1(5x + 4)] = 0

Reorder the terms:
[4 + 5x + 5y][5y + -1(4 + 5x)] = 0
[4 + 5x + 5y][5y + (4 * -1 + 5x * -1)] = 0
[4 + 5x + 5y][5y + (-4 + -5x)] = 0

Reorder the terms:
[4 + 5x + 5y][-4 + -5x + 5y] = 0

Multiply [4 + 5x + 5y] * [-4 + -5x + 5y]
[4[-4 + -5x + 5y] + 5x * [-4 + -5x + 5y] + 5y * [-4 + -5x + 5y]] = 0
[[-4 * 4 + -5x * 4 + 5y * 4] + 5x * [-4 + -5x + 5y] + 5y * [-4 + -5x + 5y]] = 0
[[-16 + -20x + 20y] + 5x * [-4 + -5x + 5y] + 5y * [-4 + -5x + 5y]] = 0
[-16 + -20x + 20y + [-4 * 5x + -5x * 5x + 5y * 5x] + 5y * [-4 + -5x + 5y]] = 0

Reorder the terms:
[-16 + -20x + 20y + [-20x + 25xy + -25x2] + 5y * [-4 + -5x + 5y]] = 0
[-16 + -20x + 20y + [-20x + 25xy + -25x2] + 5y * [-4 + -5x + 5y]] = 0
[-16 + -20x + 20y + -20x + 25xy + -25x2 + [-4 * 5y + -5x * 5y + 5y * 5y]] = 0

Reorder the terms:
[-16 + -20x + 20y + -20x + 25xy + -25x2 + [-25xy + -20y + 25y2]] = 0
[-16 + -20x + 20y + -20x + 25xy + -25x2 + [-25xy + -20y + 25y2]] = 0

Reorder the terms:
[-16 + -20x + -20x + 25xy + -25xy + -25x2 + 20y + -20y + 25y2] = 0

Combine like terms: -20x + -20x = -40x
[-16 + -40x + 25xy + -25xy + -25x2 + 20y + -20y + 25y2] = 0

Combine like terms: 25xy + -25xy = 0
[-16 + -40x + 0 + -25x2 + 20y + -20y + 25y2] = 0
[-16 + -40x + -25x2 + 20y + -20y + 25y2] = 0

Combine like terms: 20y + -20y = 0
[-16 + -40x + -25x2 + 0 + 25y2] = 0
[-16 + -40x + -25x2 + 25y2] = 0

Solving
-16 + -40x + -25x2 + 25y2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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