(a-b)x^2-(a+b)x+2b=0

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


Simplifying
(a + -1b) * x2 + -1(a + b) * x + 2b = 0

Reorder the terms for easier multiplication:
x2(a + -1b) + -1(a + b) * x + 2b = 0
(a * x2 + -1b * x2) + -1(a + b) * x + 2b = 0
(ax2 + -1bx2) + -1(a + b) * x + 2b = 0

Reorder the terms for easier multiplication:
ax2 + -1bx2 + -1x(a + b) + 2b = 0
ax2 + -1bx2 + (a * -1x + b * -1x) + 2b = 0
ax2 + -1bx2 + (-1ax + -1bx) + 2b = 0

Reorder the terms:
-1ax + ax2 + 2b + -1bx + -1bx2 = 0

Solving
-1ax + ax2 + 2b + -1bx + -1bx2 = 0

Solving for variable 'a'.

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

Add '-2b' to each side of the equation.
-1ax + ax2 + 2b + -1bx + -2b + -1bx2 = 0 + -2b

Reorder the terms:
-1ax + ax2 + 2b + -2b + -1bx + -1bx2 = 0 + -2b

Combine like terms: 2b + -2b = 0
-1ax + ax2 + 0 + -1bx + -1bx2 = 0 + -2b
-1ax + ax2 + -1bx + -1bx2 = 0 + -2b
Remove the zero:
-1ax + ax2 + -1bx + -1bx2 = -2b

Add 'bx' to each side of the equation.
-1ax + ax2 + -1bx + bx + -1bx2 = -2b + bx

Combine like terms: -1bx + bx = 0
-1ax + ax2 + 0 + -1bx2 = -2b + bx
-1ax + ax2 + -1bx2 = -2b + bx

Add 'bx2' to each side of the equation.
-1ax + ax2 + -1bx2 + bx2 = -2b + bx + bx2

Combine like terms: -1bx2 + bx2 = 0
-1ax + ax2 + 0 = -2b + bx + bx2
-1ax + ax2 = -2b + bx + bx2

Reorder the terms:
-1ax + ax2 + 2b + -1bx + -1bx2 = -2b + 2b + bx + -1bx + bx2 + -1bx2

Combine like terms: -2b + 2b = 0
-1ax + ax2 + 2b + -1bx + -1bx2 = 0 + bx + -1bx + bx2 + -1bx2
-1ax + ax2 + 2b + -1bx + -1bx2 = bx + -1bx + bx2 + -1bx2

Combine like terms: bx + -1bx = 0
-1ax + ax2 + 2b + -1bx + -1bx2 = 0 + bx2 + -1bx2
-1ax + ax2 + 2b + -1bx + -1bx2 = bx2 + -1bx2

Combine like terms: bx2 + -1bx2 = 0
-1ax + ax2 + 2b + -1bx + -1bx2 = 0

The solution to this equation could not be determined.

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