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

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


Simplifying
(2x + -5y)(2x + -5y) + -1(2x + 5y)(2x + 5y) = 0

Multiply (2x + -5y) * (2x + -5y)
(2x * (2x + -5y) + -5y * (2x + -5y)) + -1(2x + 5y)(2x + 5y) = 0
((2x * 2x + -5y * 2x) + -5y * (2x + -5y)) + -1(2x + 5y)(2x + 5y) = 0

Reorder the terms:
((-10xy + 4x2) + -5y * (2x + -5y)) + -1(2x + 5y)(2x + 5y) = 0
((-10xy + 4x2) + -5y * (2x + -5y)) + -1(2x + 5y)(2x + 5y) = 0
(-10xy + 4x2 + (2x * -5y + -5y * -5y)) + -1(2x + 5y)(2x + 5y) = 0
(-10xy + 4x2 + (-10xy + 25y2)) + -1(2x + 5y)(2x + 5y) = 0

Reorder the terms:
(-10xy + -10xy + 4x2 + 25y2) + -1(2x + 5y)(2x + 5y) = 0

Combine like terms: -10xy + -10xy = -20xy
(-20xy + 4x2 + 25y2) + -1(2x + 5y)(2x + 5y) = 0

Multiply (2x + 5y) * (2x + 5y)
-20xy + 4x2 + 25y2 + -1(2x * (2x + 5y) + 5y * (2x + 5y)) = 0
-20xy + 4x2 + 25y2 + -1((2x * 2x + 5y * 2x) + 5y * (2x + 5y)) = 0

Reorder the terms:
-20xy + 4x2 + 25y2 + -1((10xy + 4x2) + 5y * (2x + 5y)) = 0
-20xy + 4x2 + 25y2 + -1((10xy + 4x2) + 5y * (2x + 5y)) = 0
-20xy + 4x2 + 25y2 + -1(10xy + 4x2 + (2x * 5y + 5y * 5y)) = 0
-20xy + 4x2 + 25y2 + -1(10xy + 4x2 + (10xy + 25y2)) = 0

Reorder the terms:
-20xy + 4x2 + 25y2 + -1(10xy + 10xy + 4x2 + 25y2) = 0

Combine like terms: 10xy + 10xy = 20xy
-20xy + 4x2 + 25y2 + -1(20xy + 4x2 + 25y2) = 0
-20xy + 4x2 + 25y2 + (20xy * -1 + 4x2 * -1 + 25y2 * -1) = 0
-20xy + 4x2 + 25y2 + (-20xy + -4x2 + -25y2) = 0

Reorder the terms:
-20xy + -20xy + 4x2 + -4x2 + 25y2 + -25y2 = 0

Combine like terms: -20xy + -20xy = -40xy
-40xy + 4x2 + -4x2 + 25y2 + -25y2 = 0

Combine like terms: 4x2 + -4x2 = 0
-40xy + 0 + 25y2 + -25y2 = 0
-40xy + 25y2 + -25y2 = 0

Combine like terms: 25y2 + -25y2 = 0
-40xy + 0 = 0
-40xy = 0

Solving
-40xy = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '-40'.
xy = 0.0

Simplifying
xy = 0.0

The solution to this equation could not be determined.

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