(5x+2y+3)(5x+2y-3)=0

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Solution for (5x+2y+3)(5x+2y-3)=0 equation:


Simplifying
(5x + 2y + 3)(5x + 2y + -3) = 0

Reorder the terms:
(3 + 5x + 2y)(5x + 2y + -3) = 0

Reorder the terms:
(3 + 5x + 2y)(-3 + 5x + 2y) = 0

Multiply (3 + 5x + 2y) * (-3 + 5x + 2y)
(3(-3 + 5x + 2y) + 5x * (-3 + 5x + 2y) + 2y * (-3 + 5x + 2y)) = 0
((-3 * 3 + 5x * 3 + 2y * 3) + 5x * (-3 + 5x + 2y) + 2y * (-3 + 5x + 2y)) = 0
((-9 + 15x + 6y) + 5x * (-3 + 5x + 2y) + 2y * (-3 + 5x + 2y)) = 0
(-9 + 15x + 6y + (-3 * 5x + 5x * 5x + 2y * 5x) + 2y * (-3 + 5x + 2y)) = 0

Reorder the terms:
(-9 + 15x + 6y + (-15x + 10xy + 25x2) + 2y * (-3 + 5x + 2y)) = 0
(-9 + 15x + 6y + (-15x + 10xy + 25x2) + 2y * (-3 + 5x + 2y)) = 0
(-9 + 15x + 6y + -15x + 10xy + 25x2 + (-3 * 2y + 5x * 2y + 2y * 2y)) = 0

Reorder the terms:
(-9 + 15x + 6y + -15x + 10xy + 25x2 + (10xy + -6y + 4y2)) = 0
(-9 + 15x + 6y + -15x + 10xy + 25x2 + (10xy + -6y + 4y2)) = 0

Reorder the terms:
(-9 + 15x + -15x + 10xy + 10xy + 25x2 + 6y + -6y + 4y2) = 0

Combine like terms: 15x + -15x = 0
(-9 + 0 + 10xy + 10xy + 25x2 + 6y + -6y + 4y2) = 0
(-9 + 10xy + 10xy + 25x2 + 6y + -6y + 4y2) = 0

Combine like terms: 10xy + 10xy = 20xy
(-9 + 20xy + 25x2 + 6y + -6y + 4y2) = 0

Combine like terms: 6y + -6y = 0
(-9 + 20xy + 25x2 + 0 + 4y2) = 0
(-9 + 20xy + 25x2 + 4y2) = 0

Solving
-9 + 20xy + 25x2 + 4y2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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