X^2-(a-b)x=ab

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Solution for X^2-(a-b)x=ab equation:


Simplifying
X2 + -1(a + -1b) * x = ab

Reorder the terms for easier multiplication:
X2 + -1x(a + -1b) = ab
X2 + (a * -1x + -1b * -1x) = ab
X2 + (-1ax + 1bx) = ab

Solving
X2 + -1ax + 1bx = ab

Solving for variable 'X'.

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

Add 'ax' to each side of the equation.
X2 + -1ax + ax + 1bx = ab + ax

Combine like terms: -1ax + ax = 0
X2 + 0 + 1bx = ab + ax
X2 + 1bx = ab + ax

Add '-1bx' to each side of the equation.
X2 + 1bx + -1bx = ab + ax + -1bx

Combine like terms: 1bx + -1bx = 0
X2 + 0 = ab + ax + -1bx
X2 = ab + ax + -1bx

Simplifying
X2 = ab + ax + -1bx

Reorder the terms:
X2 + -1ab + -1ax + bx = ab + -1ab + ax + -1ax + -1bx + bx

Combine like terms: ab + -1ab = 0
X2 + -1ab + -1ax + bx = 0 + ax + -1ax + -1bx + bx
X2 + -1ab + -1ax + bx = ax + -1ax + -1bx + bx

Combine like terms: ax + -1ax = 0
X2 + -1ab + -1ax + bx = 0 + -1bx + bx
X2 + -1ab + -1ax + bx = -1bx + bx

Combine like terms: -1bx + bx = 0
X2 + -1ab + -1ax + bx = 0

The solution to this equation could not be determined.

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