y^2-2y+4x-3=0

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Solution for y^2-2y+4x-3=0 equation:


Simplifying
y2 + -2y + 4x + -3 = 0

Reorder the terms:
-3 + 4x + -2y + y2 = 0

Solving
-3 + 4x + -2y + y2 = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 4x + -2y + 3 + y2 = 0 + 3

Reorder the terms:
-3 + 3 + 4x + -2y + y2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4x + -2y + y2 = 0 + 3
4x + -2y + y2 = 0 + 3

Combine like terms: 0 + 3 = 3
4x + -2y + y2 = 3

Add '2y' to each side of the equation.
4x + -2y + 2y + y2 = 3 + 2y

Combine like terms: -2y + 2y = 0
4x + 0 + y2 = 3 + 2y
4x + y2 = 3 + 2y

Add '-1y2' to each side of the equation.
4x + y2 + -1y2 = 3 + 2y + -1y2

Combine like terms: y2 + -1y2 = 0
4x + 0 = 3 + 2y + -1y2
4x = 3 + 2y + -1y2

Divide each side by '4'.
x = 0.75 + 0.5y + -0.25y2

Simplifying
x = 0.75 + 0.5y + -0.25y2

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