X^2-ax-bx+an=0

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Solution for X^2-ax-bx+an=0 equation:


Simplifying
X2 + -1ax + -1bx + an = 0

Reorder the terms:
X2 + an + -1ax + -1bx = 0

Solving
X2 + an + -1ax + -1bx = 0

Solving for variable 'X'.

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

Add '-1an' to each side of the equation.
X2 + an + -1ax + -1an + -1bx = 0 + -1an

Reorder the terms:
X2 + an + -1an + -1ax + -1bx = 0 + -1an

Combine like terms: an + -1an = 0
X2 + 0 + -1ax + -1bx = 0 + -1an
X2 + -1ax + -1bx = 0 + -1an
Remove the zero:
X2 + -1ax + -1bx = -1an

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

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

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

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

Simplifying
X2 = -1an + ax + bx

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

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

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

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

The solution to this equation could not be determined.

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