x^2-ax-bx+ab=1

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Solution for x^2-ax-bx+ab=1 equation:


Simplifying
x2 + -1ax + -1bx + ab = 1

Reorder the terms:
ab + -1ax + -1bx + x2 = 1

Solving
ab + -1ax + -1bx + x2 = 1

Solving for variable 'a'.

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

Add 'bx' to each side of the equation.
ab + -1ax + -1bx + bx + x2 = 1 + bx

Combine like terms: -1bx + bx = 0
ab + -1ax + 0 + x2 = 1 + bx
ab + -1ax + x2 = 1 + bx

Add '-1x2' to each side of the equation.
ab + -1ax + x2 + -1x2 = 1 + bx + -1x2

Combine like terms: x2 + -1x2 = 0
ab + -1ax + 0 = 1 + bx + -1x2
ab + -1ax = 1 + bx + -1x2

Reorder the terms:
-1 + ab + -1ax + -1bx + x2 = 1 + bx + -1x2 + -1 + -1bx + x2

Reorder the terms:
-1 + ab + -1ax + -1bx + x2 = 1 + -1 + bx + -1bx + -1x2 + x2

Combine like terms: 1 + -1 = 0
-1 + ab + -1ax + -1bx + x2 = 0 + bx + -1bx + -1x2 + x2
-1 + ab + -1ax + -1bx + x2 = bx + -1bx + -1x2 + x2

Combine like terms: bx + -1bx = 0
-1 + ab + -1ax + -1bx + x2 = 0 + -1x2 + x2
-1 + ab + -1ax + -1bx + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-1 + ab + -1ax + -1bx + x2 = 0

The solution to this equation could not be determined.

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