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

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


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

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

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

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

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

Solving for variable 'a'.

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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