(x+a)(x+a)+b=x*x-6x+3

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Solution for (x+a)(x+a)+b=x*x-6x+3 equation: 


Simplifying
(x + a)(x + a) + b = x * x + -6x + 3

Reorder the terms:
(a + x)(x + a) + b = x * x + -6x + 3

Reorder the terms:
(a + x)(a + x) + b = x * x + -6x + 3

Multiply (a + x) * (a + x)
(a(a + x) + x(a + x)) + b = x * x + -6x + 3
((a * a + x * a) + x(a + x)) + b = x * x + -6x + 3

Reorder the terms:
((ax + a2) + x(a + x)) + b = x * x + -6x + 3
((ax + a2) + x(a + x)) + b = x * x + -6x + 3
(ax + a2 + (a * x + x * x)) + b = x * x + -6x + 3
(ax + a2 + (ax + x2)) + b = x * x + -6x + 3

Reorder the terms:
(ax + ax + a2 + x2) + b = x * x + -6x + 3

Combine like terms: ax + ax = 2ax
(2ax + a2 + x2) + b = x * x + -6x + 3

Reorder the terms:
2ax + a2 + b + x2 = x * x + -6x + 3

Multiply x * x
2ax + a2 + b + x2 = x2 + -6x + 3

Reorder the terms:
2ax + a2 + b + x2 = 3 + -6x + x2

Add '-1x2' to each side of the equation.
2ax + a2 + b + x2 + -1x2 = 3 + -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2ax + a2 + b + 0 = 3 + -6x + x2 + -1x2
2ax + a2 + b = 3 + -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2ax + a2 + b = 3 + -6x + 0
2ax + a2 + b = 3 + -6x

Solving
2ax + a2 + b = 3 + -6x

Solving for variable 'a'.

Reorder the terms:
-3 + 2ax + a2 + b + 6x = 3 + -6x + -3 + 6x

Reorder the terms:
-3 + 2ax + a2 + b + 6x = 3 + -3 + -6x + 6x

Combine like terms: 3 + -3 = 0
-3 + 2ax + a2 + b + 6x = 0 + -6x + 6x
-3 + 2ax + a2 + b + 6x = -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + 2ax + a2 + b + 6x = 0

The solution to this equation could not be determined.

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