ax^2-(a+c)x+c=0

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Solution for ax^2-(a+c)x+c=0 equation:


Simplifying
ax2 + -1(a + c) * x + c = 0

Reorder the terms for easier multiplication:
ax2 + -1x(a + c) + c = 0
ax2 + (a * -1x + c * -1x) + c = 0
ax2 + (-1ax + -1cx) + c = 0

Reorder the terms:
-1ax + ax2 + c + -1cx = 0

Solving
-1ax + ax2 + c + -1cx = 0

Solving for variable 'a'.

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

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

Combine like terms: c + -1c = 0
-1ax + ax2 + 0 + -1cx = 0 + -1c
-1ax + ax2 + -1cx = 0 + -1c
Remove the zero:
-1ax + ax2 + -1cx = -1c

Add 'cx' to each side of the equation.
-1ax + ax2 + -1cx + cx = -1c + cx

Combine like terms: -1cx + cx = 0
-1ax + ax2 + 0 = -1c + cx
-1ax + ax2 = -1c + cx

Reorder the terms:
-1ax + ax2 + c + -1cx = -1c + c + cx + -1cx

Combine like terms: -1c + c = 0
-1ax + ax2 + c + -1cx = 0 + cx + -1cx
-1ax + ax2 + c + -1cx = cx + -1cx

Combine like terms: cx + -1cx = 0
-1ax + ax2 + c + -1cx = 0

The solution to this equation could not be determined.

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