x^2-ax-bx=ab

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


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

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

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

Solving for variable 'a'.

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

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

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

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

Add 'bx' to each side of the equation.
-1ab + -1ax + -1bx + bx + x2 = 0 + bx

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

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

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

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

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

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

The solution to this equation could not be determined.

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