(x-a)(x-a)=x^2-12x+b

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Solution for (x-a)(x-a)=x^2-12x+b equation:


Simplifying
(x + -1a)(x + -1a) = x2 + -12x + b

Reorder the terms:
(-1a + x)(x + -1a) = x2 + -12x + b

Reorder the terms:
(-1a + x)(-1a + x) = x2 + -12x + b

Multiply (-1a + x) * (-1a + x)
(-1a * (-1a + x) + x(-1a + x)) = x2 + -12x + b
((-1a * -1a + x * -1a) + x(-1a + x)) = x2 + -12x + b

Reorder the terms:
((-1ax + 1a2) + x(-1a + x)) = x2 + -12x + b
((-1ax + 1a2) + x(-1a + x)) = x2 + -12x + b
(-1ax + 1a2 + (-1a * x + x * x)) = x2 + -12x + b
(-1ax + 1a2 + (-1ax + x2)) = x2 + -12x + b

Reorder the terms:
(-1ax + -1ax + 1a2 + x2) = x2 + -12x + b

Combine like terms: -1ax + -1ax = -2ax
(-2ax + 1a2 + x2) = x2 + -12x + b

Reorder the terms:
-2ax + 1a2 + x2 = b + -12x + x2

Add '-1x2' to each side of the equation.
-2ax + 1a2 + x2 + -1x2 = b + -12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2ax + 1a2 + 0 = b + -12x + x2 + -1x2
-2ax + 1a2 = b + -12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2ax + 1a2 = b + -12x + 0
-2ax + 1a2 = b + -12x

Solving
-2ax + 1a2 = b + -12x

Solving for variable 'a'.

Reorder the terms:
-2ax + 1a2 + -1b + 12x = b + -1b + -12x + 12x

Combine like terms: b + -1b = 0
-2ax + 1a2 + -1b + 12x = 0 + -12x + 12x
-2ax + 1a2 + -1b + 12x = -12x + 12x

Combine like terms: -12x + 12x = 0
-2ax + 1a2 + -1b + 12x = 0

The solution to this equation could not be determined.

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