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

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


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

Reorder the terms:
(-1a + x)(a + -1x + -1) = 2(a + -1x) * 2

Reorder the terms:
(-1a + x)(-1 + a + -1x) = 2(a + -1x) * 2

Multiply (-1a + x) * (-1 + a + -1x)
(-1a * (-1 + a + -1x) + x(-1 + a + -1x)) = 2(a + -1x) * 2
((-1 * -1a + a * -1a + -1x * -1a) + x(-1 + a + -1x)) = 2(a + -1x) * 2

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

Reorder the terms:
(1a + 1ax + -1a2 + (ax + -1x + -1x2)) = 2(a + -1x) * 2
(1a + 1ax + -1a2 + (ax + -1x + -1x2)) = 2(a + -1x) * 2

Reorder the terms:
(1a + 1ax + ax + -1a2 + -1x + -1x2) = 2(a + -1x) * 2

Combine like terms: 1ax + ax = 2ax
(1a + 2ax + -1a2 + -1x + -1x2) = 2(a + -1x) * 2

Reorder the terms for easier multiplication:
1a + 2ax + -1a2 + -1x + -1x2 = 2 * 2(a + -1x)

Multiply 2 * 2
1a + 2ax + -1a2 + -1x + -1x2 = 4(a + -1x)
1a + 2ax + -1a2 + -1x + -1x2 = (a * 4 + -1x * 4)
1a + 2ax + -1a2 + -1x + -1x2 = (4a + -4x)

Solving
1a + 2ax + -1a2 + -1x + -1x2 = 4a + -4x

Solving for variable 'a'.

Reorder the terms:
1a + -4a + 2ax + -1a2 + -1x + 4x + -1x2 = 4a + -4x + -4a + 4x

Combine like terms: 1a + -4a = -3a
-3a + 2ax + -1a2 + -1x + 4x + -1x2 = 4a + -4x + -4a + 4x

Combine like terms: -1x + 4x = 3x
-3a + 2ax + -1a2 + 3x + -1x2 = 4a + -4x + -4a + 4x

Reorder the terms:
-3a + 2ax + -1a2 + 3x + -1x2 = 4a + -4a + -4x + 4x

Combine like terms: 4a + -4a = 0
-3a + 2ax + -1a2 + 3x + -1x2 = 0 + -4x + 4x
-3a + 2ax + -1a2 + 3x + -1x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-3a + 2ax + -1a2 + 3x + -1x2 = 0

The solution to this equation could not be determined.

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