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

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


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

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

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

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

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

Solving for variable 'a'.

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

Add '-1ab' to each side of the equation.
0 + -1ab = 1ab + -1ax + -1bx + -1ab + x2
Remove the zero:
-1ab = 1ab + -1ax + -1bx + -1ab + x2

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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