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

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


Simplifying
x2 + 2ax + -1a + x + -1 = 0

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

Solving
-1 + -1a + 2ax + x + x2 = 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 + -1a + 2ax + x + 1 + x2 = 0 + 1

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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