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

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


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

Reorder the terms:
x(-1a + x) + -1b(a + b) = 0
(-1a * x + x * x) + -1b(a + b) = 0
(-1ax + x2) + -1b(a + b) = 0
-1ax + x2 + (a * -1b + b * -1b) = 0
-1ax + x2 + (-1ab + -1b2) = 0

Reorder the terms:
-1ab + -1ax + -1b2 + x2 = 0

Solving
-1ab + -1ax + -1b2 + x2 = 0

Solving for variable 'a'.

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

Add 'b2' to each side of the equation.
-1ab + -1ax + -1b2 + b2 + x2 = 0 + b2

Combine like terms: -1b2 + b2 = 0
-1ab + -1ax + 0 + x2 = 0 + b2
-1ab + -1ax + x2 = 0 + b2
Remove the zero:
-1ab + -1ax + x2 = b2

Add '-1x2' to each side of the equation.
-1ab + -1ax + x2 + -1x2 = b2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1ab + -1ax + 0 = b2 + -1x2
-1ab + -1ax = b2 + -1x2

Reorder the terms:
-1ab + -1ax + -1b2 + x2 = b2 + -1b2 + -1x2 + x2

Combine like terms: b2 + -1b2 = 0
-1ab + -1ax + -1b2 + x2 = 0 + -1x2 + x2
-1ab + -1ax + -1b2 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-1ab + -1ax + -1b2 + x2 = 0

The solution to this equation could not be determined.

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