2x-y^2+4y-6=0

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Solution for 2x-y^2+4y-6=0 equation:


Simplifying
2x + -1y2 + 4y + -6 = 0

Reorder the terms:
-6 + 2x + 4y + -1y2 = 0

Solving
-6 + 2x + 4y + -1y2 = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 2x + 4y + 6 + -1y2 = 0 + 6

Reorder the terms:
-6 + 6 + 2x + 4y + -1y2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 2x + 4y + -1y2 = 0 + 6
2x + 4y + -1y2 = 0 + 6

Combine like terms: 0 + 6 = 6
2x + 4y + -1y2 = 6

Add '-4y' to each side of the equation.
2x + 4y + -4y + -1y2 = 6 + -4y

Combine like terms: 4y + -4y = 0
2x + 0 + -1y2 = 6 + -4y
2x + -1y2 = 6 + -4y

Add 'y2' to each side of the equation.
2x + -1y2 + y2 = 6 + -4y + y2

Combine like terms: -1y2 + y2 = 0
2x + 0 = 6 + -4y + y2
2x = 6 + -4y + y2

Divide each side by '2'.
x = 3 + -2y + 0.5y2

Simplifying
x = 3 + -2y + 0.5y2

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