x^2-2a(x-1)-1=0

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Solution for x^2-2a(x-1)-1=0 equation:


Simplifying
x2 + -2a(x + -1) + -1 = 0

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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