x^2-ax+cx-ac=0

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Solution for x^2-ax+cx-ac=0 equation:


Simplifying
x2 + -1ax + cx + -1ac = 0

Reorder the terms:
-1ac + -1ax + cx + x2 = 0

Solving
-1ac + -1ax + cx + x2 = 0

Solving for variable 'a'.

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

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

Combine like terms: cx + -1cx = 0
-1ac + -1ax + 0 + x2 = 0 + -1cx
-1ac + -1ax + x2 = 0 + -1cx
Remove the zero:
-1ac + -1ax + x2 = -1cx

Add '-1x2' to each side of the equation.
-1ac + -1ax + x2 + -1x2 = -1cx + -1x2

Combine like terms: x2 + -1x2 = 0
-1ac + -1ax + 0 = -1cx + -1x2
-1ac + -1ax = -1cx + -1x2

Reorder the terms:
-1ac + -1ax + cx + x2 = -1cx + cx + -1x2 + x2

Combine like terms: -1cx + cx = 0
-1ac + -1ax + cx + x2 = 0 + -1x2 + x2
-1ac + -1ax + cx + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-1ac + -1ax + cx + x2 = 0

The solution to this equation could not be determined.

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