x^2-2x+4a+2ax=0

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Solution for x^2-2x+4a+2ax=0 equation: 


Simplifying
x2 + -2x + 4a + 2ax = 0

Reorder the terms:
4a + 2ax + -2x + x2 = 0

Solving
4a + 2ax + -2x + x2 = 0

Solving for variable 'a'.

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

Add '2x' to each side of the equation.
4a + 2ax + -2x + 2x + x2 = 0 + 2x

Combine like terms: -2x + 2x = 0
4a + 2ax + 0 + x2 = 0 + 2x
4a + 2ax + x2 = 0 + 2x
Remove the zero:
4a + 2ax + x2 = 2x

Add '-1x2' to each side of the equation.
4a + 2ax + x2 + -1x2 = 2x + -1x2

Combine like terms: x2 + -1x2 = 0
4a + 2ax + 0 = 2x + -1x2
4a + 2ax = 2x + -1x2

Reorder the terms:
4a + 2ax + -2x + x2 = 2x + -2x + -1x2 + x2

Combine like terms: 2x + -2x = 0
4a + 2ax + -2x + x2 = 0 + -1x2 + x2
4a + 2ax + -2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
4a + 2ax + -2x + x2 = 0

The solution to this equation could not be determined.

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