(1-a)*x^2+(ac-c)*x+ab=0

Solution for (1-a)*x^2+(ac-c)*x+ab=0 equation:

Simplifying
(1 + -1a) * x2 + (ac + -1c) * x + ab = 0

Reorder the terms for easier multiplication:
x2(1 + -1a) + (ac + -1c) * x + ab = 0
(1 * x2 + -1a * x2) + (ac + -1c) * x + ab = 0

Reorder the terms:
(-1ax2 + 1x2) + (ac + -1c) * x + ab = 0
(-1ax2 + 1x2) + (ac + -1c) * x + ab = 0

Reorder the terms for easier multiplication:
-1ax2 + 1x2 + x(ac + -1c) + ab = 0
-1ax2 + 1x2 + (ac * x + -1c * x) + ab = 0
-1ax2 + 1x2 + (acx + -1cx) + ab = 0

Reorder the terms:
ab + acx + -1ax2 + -1cx + 1x2 = 0

Solving
ab + acx + -1ax2 + -1cx + 1x2 = 0

Solving for variable 'a'.

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

Add 'cx' to each side of the equation.
ab + acx + -1ax2 + -1cx + cx + 1x2 = 0 + cx

Combine like terms: -1cx + cx = 0
ab + acx + -1ax2 + 0 + 1x2 = 0 + cx
ab + acx + -1ax2 + 1x2 = 0 + cx
Remove the zero:
ab + acx + -1ax2 + 1x2 = cx

Add '-1x2' to each side of the equation.
ab + acx + -1ax2 + 1x2 + -1x2 = cx + -1x2

Combine like terms: 1x2 + -1x2 = 0
ab + acx + -1ax2 + 0 = cx + -1x2
ab + acx + -1ax2 = cx + -1x2

Reorder the terms:
ab + acx + -1ax2 + -1cx + x2 = cx + -1cx + -1x2 + x2

Combine like terms: cx + -1cx = 0
ab + acx + -1ax2 + -1cx + x2 = 0 + -1x2 + x2
ab + acx + -1ax2 + -1cx + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
ab + acx + -1ax2 + -1cx + x2 = 0

The solution to this equation could not be determined.