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

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


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

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

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

Multiply (-1a + x) * (b + x)
0 = (-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)

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

Solving for variable 'a'.

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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