A^2-x^2-2ax+a^2x+1-a=0

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Solution for A^2-x^2-2ax+a^2x+1-a=0 equation: 


Simplifying
A2 + -1x2 + -2ax + a2x + 1 + -1a = 0

Reorder the terms:
1 + A2 + -1a + -2ax + a2x + -1x2 = 0

Solving
1 + A2 + -1a + -2ax + a2x + -1x2 = 0

Solving for variable 'A'.

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

Add '-1' to each side of the equation.
1 + A2 + -1a + -2ax + a2x + -1 + -1x2 = 0 + -1

Reorder the terms:
1 + -1 + A2 + -1a + -2ax + a2x + -1x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + A2 + -1a + -2ax + a2x + -1x2 = 0 + -1
A2 + -1a + -2ax + a2x + -1x2 = 0 + -1

Combine like terms: 0 + -1 = -1
A2 + -1a + -2ax + a2x + -1x2 = -1

Add 'a' to each side of the equation.
A2 + -1a + -2ax + a2x + a + -1x2 = -1 + a

Reorder the terms:
A2 + -1a + a + -2ax + a2x + -1x2 = -1 + a

Combine like terms: -1a + a = 0
A2 + 0 + -2ax + a2x + -1x2 = -1 + a
A2 + -2ax + a2x + -1x2 = -1 + a

Add '2ax' to each side of the equation.
A2 + -2ax + a2x + 2ax + -1x2 = -1 + a + 2ax

Reorder the terms:
A2 + -2ax + 2ax + a2x + -1x2 = -1 + a + 2ax

Combine like terms: -2ax + 2ax = 0
A2 + 0 + a2x + -1x2 = -1 + a + 2ax
A2 + a2x + -1x2 = -1 + a + 2ax

Add '-1a2x' to each side of the equation.
A2 + a2x + -1a2x + -1x2 = -1 + a + 2ax + -1a2x

Combine like terms: a2x + -1a2x = 0
A2 + 0 + -1x2 = -1 + a + 2ax + -1a2x
A2 + -1x2 = -1 + a + 2ax + -1a2x

Add 'x2' to each side of the equation.
A2 + -1x2 + x2 = -1 + a + 2ax + -1a2x + x2

Combine like terms: -1x2 + x2 = 0
A2 + 0 = -1 + a + 2ax + -1a2x + x2
A2 = -1 + a + 2ax + -1a2x + x2

Simplifying
A2 = -1 + a + 2ax + -1a2x + x2

Reorder the terms:
1 + A2 + -1a + -2ax + a2x + -1x2 = -1 + a + 2ax + -1a2x + x2 + 1 + -1a + -2ax + a2x + -1x2

Reorder the terms:
1 + A2 + -1a + -2ax + a2x + -1x2 = -1 + 1 + a + -1a + 2ax + -2ax + -1a2x + a2x + x2 + -1x2

Combine like terms: -1 + 1 = 0
1 + A2 + -1a + -2ax + a2x + -1x2 = 0 + a + -1a + 2ax + -2ax + -1a2x + a2x + x2 + -1x2
1 + A2 + -1a + -2ax + a2x + -1x2 = a + -1a + 2ax + -2ax + -1a2x + a2x + x2 + -1x2

Combine like terms: a + -1a = 0
1 + A2 + -1a + -2ax + a2x + -1x2 = 0 + 2ax + -2ax + -1a2x + a2x + x2 + -1x2
1 + A2 + -1a + -2ax + a2x + -1x2 = 2ax + -2ax + -1a2x + a2x + x2 + -1x2

Combine like terms: 2ax + -2ax = 0
1 + A2 + -1a + -2ax + a2x + -1x2 = 0 + -1a2x + a2x + x2 + -1x2
1 + A2 + -1a + -2ax + a2x + -1x2 = -1a2x + a2x + x2 + -1x2

Combine like terms: -1a2x + a2x = 0
1 + A2 + -1a + -2ax + a2x + -1x2 = 0 + x2 + -1x2
1 + A2 + -1a + -2ax + a2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1 + A2 + -1a + -2ax + a2x + -1x2 = 0

The solution to this equation could not be determined.

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