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

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


Simplifying
2y2 + -4y + -2x + 1 = 0

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

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

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

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

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

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

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

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

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

Divide each side by '-2'.
x = 0.5 + -2y + y2

Simplifying
x = 0.5 + -2y + y2

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