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

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


Simplifying
a(x + -1b) + -1b(x + a) = 0

Reorder the terms:
a(-1b + x) + -1b(x + a) = 0
(-1b * a + x * a) + -1b(x + a) = 0
(-1ab + ax) + -1b(x + a) = 0

Reorder the terms:
-1ab + ax + -1b(a + x) = 0
-1ab + ax + (a * -1b + x * -1b) = 0
-1ab + ax + (-1ab + -1bx) = 0

Reorder the terms:
-1ab + -1ab + ax + -1bx = 0

Combine like terms: -1ab + -1ab = -2ab
-2ab + ax + -1bx = 0

Solving
-2ab + ax + -1bx = 0

Solving for variable 'a'.

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

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

Combine like terms: -1bx + bx = 0
-2ab + ax + 0 = 0 + bx
-2ab + ax = 0 + bx
Remove the zero:
-2ab + ax = bx

Combine like terms: bx + -1bx = 0
-2ab + ax + -1bx = 0

The solution to this equation could not be determined.

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