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

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


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

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

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

Multiply (-1a + x) * (b + x)
(-1a * (b + x) + x(b + x)) = 0
((b * -1a + x * -1a) + x(b + x)) = 0
((-1ab + -1ax) + x(b + x)) = 0
(-1ab + -1ax + (b * x + x * x)) = 0
(-1ab + -1ax + (bx + x2)) = 0
(-1ab + -1ax + bx + x2) = 0

Solving
-1ab + -1ax + bx + x2 = 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.
-1ab + -1ax + bx + -1bx + x2 = 0 + -1bx

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

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

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

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

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

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

The solution to this equation could not be determined.

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