x^2+y^2+abs(4x-1)=0

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Solution for x^2+y^2+abs(4x-1)=0 equation:


Simplifying
x2 + y2 + abs(4x + -1) = 0

Reorder the terms:
x2 + y2 + abs(-1 + 4x) = 0
x2 + y2 + (-1 * abs + 4x * abs) = 0
x2 + y2 + (-1abs + 4absx) = 0

Reorder the terms:
-1abs + 4absx + x2 + y2 = 0

Solving
-1abs + 4absx + x2 + y2 = 0

Solving for variable 'a'.

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

Add '-1x2' to each side of the equation.
-1abs + 4absx + x2 + -1x2 + y2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
-1abs + 4absx + 0 + y2 = 0 + -1x2
-1abs + 4absx + y2 = 0 + -1x2
Remove the zero:
-1abs + 4absx + y2 = -1x2

Add '-1y2' to each side of the equation.
-1abs + 4absx + y2 + -1y2 = -1x2 + -1y2

Combine like terms: y2 + -1y2 = 0
-1abs + 4absx + 0 = -1x2 + -1y2
-1abs + 4absx = -1x2 + -1y2

Reorder the terms:
-1abs + 4absx + x2 + y2 = -1x2 + x2 + -1y2 + y2

Combine like terms: -1x2 + x2 = 0
-1abs + 4absx + x2 + y2 = 0 + -1y2 + y2
-1abs + 4absx + x2 + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-1abs + 4absx + x2 + y2 = 0

The solution to this equation could not be determined.

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