ax^2-ax+bx-b=0

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


Simplifying
ax2 + -1ax + bx + -1b = 0

Reorder the terms:
-1ax + ax2 + -1b + bx = 0

Solving
-1ax + ax2 + -1b + bx = 0

Solving for variable 'a'.

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

Add 'b' to each side of the equation.
-1ax + ax2 + -1b + b + bx = 0 + b

Combine like terms: -1b + b = 0
-1ax + ax2 + 0 + bx = 0 + b
-1ax + ax2 + bx = 0 + b
Remove the zero:
-1ax + ax2 + bx = b

Add '-1bx' to each side of the equation.
-1ax + ax2 + bx + -1bx = b + -1bx

Combine like terms: bx + -1bx = 0
-1ax + ax2 + 0 = b + -1bx
-1ax + ax2 = b + -1bx

Reorder the terms:
-1ax + ax2 + -1b + bx = b + -1b + -1bx + bx

Combine like terms: b + -1b = 0
-1ax + ax2 + -1b + bx = 0 + -1bx + bx
-1ax + ax2 + -1b + bx = -1bx + bx

Combine like terms: -1bx + bx = 0
-1ax + ax2 + -1b + bx = 0

The solution to this equation could not be determined.

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