X^2-2ax+2a+x^2-a^2=(x+a)(x+2a)

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Solution for X^2-2ax+2a+x^2-a^2=(x+a)(x+2a) equation: 


Simplifying
X2 + -2ax + 2a + x2 + -1a2 = (x + a)(x + 2a)

Reorder the terms:
X2 + 2a + -2ax + -1a2 + x2 = (x + a)(x + 2a)

Reorder the terms:
X2 + 2a + -2ax + -1a2 + x2 = (a + x)(x + 2a)

Reorder the terms:
X2 + 2a + -2ax + -1a2 + x2 = (a + x)(2a + x)

Multiply (a + x) * (2a + x)
X2 + 2a + -2ax + -1a2 + x2 = (a(2a + x) + x(2a + x))
X2 + 2a + -2ax + -1a2 + x2 = ((2a * a + x * a) + x(2a + x))

Reorder the terms:
X2 + 2a + -2ax + -1a2 + x2 = ((ax + 2a2) + x(2a + x))
X2 + 2a + -2ax + -1a2 + x2 = ((ax + 2a2) + x(2a + x))
X2 + 2a + -2ax + -1a2 + x2 = (ax + 2a2 + (2a * x + x * x))
X2 + 2a + -2ax + -1a2 + x2 = (ax + 2a2 + (2ax + x2))

Reorder the terms:
X2 + 2a + -2ax + -1a2 + x2 = (ax + 2ax + 2a2 + x2)

Combine like terms: ax + 2ax = 3ax
X2 + 2a + -2ax + -1a2 + x2 = (3ax + 2a2 + x2)

Add '-1x2' to each side of the equation.
X2 + 2a + -2ax + -1a2 + x2 + -1x2 = 3ax + 2a2 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
X2 + 2a + -2ax + -1a2 + 0 = 3ax + 2a2 + x2 + -1x2
X2 + 2a + -2ax + -1a2 = 3ax + 2a2 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
X2 + 2a + -2ax + -1a2 = 3ax + 2a2 + 0
X2 + 2a + -2ax + -1a2 = 3ax + 2a2

Solving
X2 + 2a + -2ax + -1a2 = 3ax + 2a2

Solving for variable 'X'.

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

Add '-2a' to each side of the equation.
X2 + 2a + -2ax + -2a + -1a2 = 3ax + -2a + 2a2

Reorder the terms:
X2 + 2a + -2a + -2ax + -1a2 = 3ax + -2a + 2a2

Combine like terms: 2a + -2a = 0
X2 + 0 + -2ax + -1a2 = 3ax + -2a + 2a2
X2 + -2ax + -1a2 = 3ax + -2a + 2a2

Reorder the terms:
X2 + -2ax + -1a2 = -2a + 3ax + 2a2

Add '2ax' to each side of the equation.
X2 + -2ax + 2ax + -1a2 = -2a + 3ax + 2ax + 2a2

Combine like terms: -2ax + 2ax = 0
X2 + 0 + -1a2 = -2a + 3ax + 2ax + 2a2
X2 + -1a2 = -2a + 3ax + 2ax + 2a2

Combine like terms: 3ax + 2ax = 5ax
X2 + -1a2 = -2a + 5ax + 2a2

Add 'a2' to each side of the equation.
X2 + -1a2 + a2 = -2a + 5ax + 2a2 + a2

Combine like terms: -1a2 + a2 = 0
X2 + 0 = -2a + 5ax + 2a2 + a2
X2 = -2a + 5ax + 2a2 + a2

Combine like terms: 2a2 + a2 = 3a2
X2 = -2a + 5ax + 3a2

Simplifying
X2 = -2a + 5ax + 3a2

Reorder the terms:
X2 + 2a + -5ax + -3a2 = -2a + 2a + 5ax + -5ax + 3a2 + -3a2

Combine like terms: -2a + 2a = 0
X2 + 2a + -5ax + -3a2 = 0 + 5ax + -5ax + 3a2 + -3a2
X2 + 2a + -5ax + -3a2 = 5ax + -5ax + 3a2 + -3a2

Combine like terms: 5ax + -5ax = 0
X2 + 2a + -5ax + -3a2 = 0 + 3a2 + -3a2
X2 + 2a + -5ax + -3a2 = 3a2 + -3a2

Combine like terms: 3a2 + -3a2 = 0
X2 + 2a + -5ax + -3a2 = 0

The solution to this equation could not be determined.

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