2a(a-2x)+y(a-2x)+(a-2x)=(2a+y+1)(a-2x)

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Solution for 2a(a-2x)+y(a-2x)+(a-2x)=(2a+y+1)(a-2x) equation: 


Simplifying
2a(a + -2x) + y(a + -2x) + (a + -2x) = (2a + y + 1)(a + -2x)
(a * 2a + -2x * 2a) + y(a + -2x) + (a + -2x) = (2a + y + 1)(a + -2x)

Reorder the terms:
(-4ax + 2a2) + y(a + -2x) + (a + -2x) = (2a + y + 1)(a + -2x)
(-4ax + 2a2) + y(a + -2x) + (a + -2x) = (2a + y + 1)(a + -2x)
-4ax + 2a2 + (a * y + -2x * y) + (a + -2x) = (2a + y + 1)(a + -2x)
-4ax + 2a2 + (ay + -2xy) + (a + -2x) = (2a + y + 1)(a + -2x)

Remove parenthesis around (a + -2x)
-4ax + 2a2 + ay + -2xy + a + -2x = (2a + y + 1)(a + -2x)

Reorder the terms:
a + -4ax + ay + 2a2 + -2x + -2xy = (2a + y + 1)(a + -2x)

Reorder the terms:
a + -4ax + ay + 2a2 + -2x + -2xy = (1 + 2a + y)(a + -2x)

Multiply (1 + 2a + y) * (a + -2x)
a + -4ax + ay + 2a2 + -2x + -2xy = (1(a + -2x) + 2a * (a + -2x) + y(a + -2x))
a + -4ax + ay + 2a2 + -2x + -2xy = ((a * 1 + -2x * 1) + 2a * (a + -2x) + y(a + -2x))
a + -4ax + ay + 2a2 + -2x + -2xy = ((1a + -2x) + 2a * (a + -2x) + y(a + -2x))
a + -4ax + ay + 2a2 + -2x + -2xy = (1a + -2x + (a * 2a + -2x * 2a) + y(a + -2x))

Reorder the terms:
a + -4ax + ay + 2a2 + -2x + -2xy = (1a + -2x + (-4ax + 2a2) + y(a + -2x))
a + -4ax + ay + 2a2 + -2x + -2xy = (1a + -2x + (-4ax + 2a2) + y(a + -2x))
a + -4ax + ay + 2a2 + -2x + -2xy = (1a + -2x + -4ax + 2a2 + (a * y + -2x * y))
a + -4ax + ay + 2a2 + -2x + -2xy = (1a + -2x + -4ax + 2a2 + (ay + -2xy))

Reorder the terms:
a + -4ax + ay + 2a2 + -2x + -2xy = (1a + -4ax + ay + 2a2 + -2x + -2xy)
a + -4ax + ay + 2a2 + -2x + -2xy = (1a + -4ax + ay + 2a2 + -2x + -2xy)

Add '4ax' to each side of the equation.
a + -4ax + ay + 2a2 + -2x + 4ax + -2xy = 1a + -4ax + ay + 2a2 + -2x + 4ax + -2xy

Reorder the terms:
a + -4ax + 4ax + ay + 2a2 + -2x + -2xy = 1a + -4ax + ay + 2a2 + -2x + 4ax + -2xy

Combine like terms: -4ax + 4ax = 0
a + 0 + ay + 2a2 + -2x + -2xy = 1a + -4ax + ay + 2a2 + -2x + 4ax + -2xy
a + ay + 2a2 + -2x + -2xy = 1a + -4ax + ay + 2a2 + -2x + 4ax + -2xy

Reorder the terms:
a + ay + 2a2 + -2x + -2xy = 1a + -4ax + 4ax + ay + 2a2 + -2x + -2xy

Combine like terms: -4ax + 4ax = 0
a + ay + 2a2 + -2x + -2xy = 1a + 0 + ay + 2a2 + -2x + -2xy
a + ay + 2a2 + -2x + -2xy = 1a + ay + 2a2 + -2x + -2xy

Add '-1ay' to each side of the equation.
a + ay + 2a2 + -2x + -1ay + -2xy = 1a + ay + 2a2 + -2x + -1ay + -2xy

Reorder the terms:
a + ay + -1ay + 2a2 + -2x + -2xy = 1a + ay + 2a2 + -2x + -1ay + -2xy

Combine like terms: ay + -1ay = 0
a + 0 + 2a2 + -2x + -2xy = 1a + ay + 2a2 + -2x + -1ay + -2xy
a + 2a2 + -2x + -2xy = 1a + ay + 2a2 + -2x + -1ay + -2xy

Reorder the terms:
a + 2a2 + -2x + -2xy = 1a + ay + -1ay + 2a2 + -2x + -2xy

Combine like terms: ay + -1ay = 0
a + 2a2 + -2x + -2xy = 1a + 0 + 2a2 + -2x + -2xy
a + 2a2 + -2x + -2xy = 1a + 2a2 + -2x + -2xy

Add '-2a2' to each side of the equation.
a + 2a2 + -2x + -2a2 + -2xy = 1a + 2a2 + -2x + -2a2 + -2xy

Reorder the terms:
a + 2a2 + -2a2 + -2x + -2xy = 1a + 2a2 + -2x + -2a2 + -2xy

Combine like terms: 2a2 + -2a2 = 0
a + 0 + -2x + -2xy = 1a + 2a2 + -2x + -2a2 + -2xy
a + -2x + -2xy = 1a + 2a2 + -2x + -2a2 + -2xy

Reorder the terms:
a + -2x + -2xy = 1a + 2a2 + -2a2 + -2x + -2xy

Combine like terms: 2a2 + -2a2 = 0
a + -2x + -2xy = 1a + 0 + -2x + -2xy
a + -2x + -2xy = 1a + -2x + -2xy

Add '2x' to each side of the equation.
a + -2x + 2x + -2xy = 1a + -2x + 2x + -2xy

Combine like terms: -2x + 2x = 0
a + 0 + -2xy = 1a + -2x + 2x + -2xy
a + -2xy = 1a + -2x + 2x + -2xy

Combine like terms: -2x + 2x = 0
a + -2xy = 1a + 0 + -2xy
a + -2xy = 1a + -2xy

Add '2xy' to each side of the equation.
a + -2xy + 2xy = 1a + -2xy + 2xy

Combine like terms: -2xy + 2xy = 0
a + 0 = 1a + -2xy + 2xy
a = 1a + -2xy + 2xy

Combine like terms: -2xy + 2xy = 0
a = 1a + 0
a = 1a

Solving
a = 1a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
a + -1a = 1a + -1a

Combine like terms: a + -1a = 0
0 = 1a + -1a

Combine like terms: 1a + -1a = 0
0 = 0

Simplifying
0 = 0

The solution to this equation could not be determined.

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