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

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


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

Multiply (5x + 2y) * (5x + 2y)
(5x * (5x + 2y) + 2y * (5x + 2y)) = (5x + 2y)(5x + 2y)
((5x * 5x + 2y * 5x) + 2y * (5x + 2y)) = (5x + 2y)(5x + 2y)

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

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

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

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

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

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

Combine like terms: 10xy + 10xy = 20xy
20xy + 25x2 + 4y2 = (20xy + 25x2 + 4y2)

Add '-20xy' to each side of the equation.
20xy + 25x2 + -20xy + 4y2 = 20xy + 25x2 + -20xy + 4y2

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

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

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

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

Add '-25x2' to each side of the equation.
25x2 + -25x2 + 4y2 = 25x2 + -25x2 + 4y2

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

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

Add '-4y2' to each side of the equation.
4y2 + -4y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
0 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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