abs(x-2)+x^2-4x=0

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Solution for abs(x-2)+x^2-4x=0 equation:


Simplifying
abs(x + -2) + x2 + -4x = 0

Reorder the terms:
abs(-2 + x) + x2 + -4x = 0
(-2 * abs + x * abs) + x2 + -4x = 0
(-2abs + absx) + x2 + -4x = 0

Reorder the terms:
-2abs + absx + -4x + x2 = 0

Solving
-2abs + absx + -4x + x2 = 0

Solving for variable 'a'.

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

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

Combine like terms: -4x + 4x = 0
-2abs + absx + 0 + x2 = 0 + 4x
-2abs + absx + x2 = 0 + 4x
Remove the zero:
-2abs + absx + x2 = 4x

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

Combine like terms: x2 + -1x2 = 0
-2abs + absx + 0 = 4x + -1x2
-2abs + absx = 4x + -1x2

Reorder the terms:
-2abs + absx + -4x + x2 = 4x + -4x + -1x2 + x2

Combine like terms: 4x + -4x = 0
-2abs + absx + -4x + x2 = 0 + -1x2 + x2
-2abs + absx + -4x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-2abs + absx + -4x + x2 = 0

The solution to this equation could not be determined.

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