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

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


Simplifying
4x2 + -1(y2 + -2y + 1) = 0

Reorder the terms:
4x2 + -1(1 + -2y + y2) = 0
4x2 + (1 * -1 + -2y * -1 + y2 * -1) = 0
4x2 + (-1 + 2y + -1y2) = 0

Reorder the terms:
-1 + 4x2 + 2y + -1y2 = 0

Solving
-1 + 4x2 + 2y + -1y2 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 4x2 + 2y + 1 + -1y2 = 0 + 1

Reorder the terms:
-1 + 1 + 4x2 + 2y + -1y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4x2 + 2y + -1y2 = 0 + 1
4x2 + 2y + -1y2 = 0 + 1

Combine like terms: 0 + 1 = 1
4x2 + 2y + -1y2 = 1

Add '-2y' to each side of the equation.
4x2 + 2y + -2y + -1y2 = 1 + -2y

Combine like terms: 2y + -2y = 0
4x2 + 0 + -1y2 = 1 + -2y
4x2 + -1y2 = 1 + -2y

Add 'y2' to each side of the equation.
4x2 + -1y2 + y2 = 1 + -2y + y2

Combine like terms: -1y2 + y2 = 0
4x2 + 0 = 1 + -2y + y2
4x2 = 1 + -2y + y2

Divide each side by '4'.
x2 = 0.25 + -0.5y + 0.25y2

Simplifying
x2 = 0.25 + -0.5y + 0.25y2

Reorder the terms:
-0.25 + x2 + 0.5y + -0.25y2 = 0.25 + -0.5y + 0.25y2 + -0.25 + 0.5y + -0.25y2

Reorder the terms:
-0.25 + x2 + 0.5y + -0.25y2 = 0.25 + -0.25 + -0.5y + 0.5y + 0.25y2 + -0.25y2

Combine like terms: 0.25 + -0.25 = 0.00
-0.25 + x2 + 0.5y + -0.25y2 = 0.00 + -0.5y + 0.5y + 0.25y2 + -0.25y2
-0.25 + x2 + 0.5y + -0.25y2 = -0.5y + 0.5y + 0.25y2 + -0.25y2

Combine like terms: -0.5y + 0.5y = 0.0
-0.25 + x2 + 0.5y + -0.25y2 = 0.0 + 0.25y2 + -0.25y2
-0.25 + x2 + 0.5y + -0.25y2 = 0.25y2 + -0.25y2

Combine like terms: 0.25y2 + -0.25y2 = 0.00
-0.25 + x2 + 0.5y + -0.25y2 = 0.00

The solution to this equation could not be determined.

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