(a+b)x+x^2=x^2+2ax^1+a^2

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Solution for (a+b)x+x^2=x^2+2ax^1+a^2 equation: 


Simplifying
(a + b) * x + x2 = x2 + 2ax + a2

Reorder the terms for easier multiplication:
x(a + b) + x2 = x2 + 2ax + a2
(a * x + b * x) + x2 = x2 + 2ax + a2
(ax + bx) + x2 = x2 + 2ax + a2

Reorder the terms:
ax + bx + x2 = 2ax + a2 + x2

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

Combine like terms: x2 + -1x2 = 0
ax + bx + 0 = 2ax + a2 + x2 + -1x2
ax + bx = 2ax + a2 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
ax + bx = 2ax + a2 + 0
ax + bx = 2ax + a2

Solving
ax + bx = 2ax + a2

Solving for variable 'a'.

Reorder the terms:
ax + -2ax + -1a2 + bx = 2ax + a2 + -2ax + -1a2

Combine like terms: ax + -2ax = -1ax
-1ax + -1a2 + bx = 2ax + a2 + -2ax + -1a2

Reorder the terms:
-1ax + -1a2 + bx = 2ax + -2ax + a2 + -1a2

Combine like terms: 2ax + -2ax = 0
-1ax + -1a2 + bx = 0 + a2 + -1a2
-1ax + -1a2 + bx = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
-1ax + -1a2 + bx = 0

The solution to this equation could not be determined.

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