y^2-2y+3x+7=0

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Solution for y^2-2y+3x+7=0 equation: 


Simplifying
y2 + -2y + 3x + 7 = 0

Reorder the terms:
7 + 3x + -2y + y2 = 0

Solving
7 + 3x + -2y + y2 = 0

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + 3x + -2y + -7 + y2 = 0 + -7

Reorder the terms:
7 + -7 + 3x + -2y + y2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x + -2y + y2 = 0 + -7
3x + -2y + y2 = 0 + -7

Combine like terms: 0 + -7 = -7
3x + -2y + y2 = -7

Add '2y' to each side of the equation.
3x + -2y + 2y + y2 = -7 + 2y

Combine like terms: -2y + 2y = 0
3x + 0 + y2 = -7 + 2y
3x + y2 = -7 + 2y

Add '-1y2' to each side of the equation.
3x + y2 + -1y2 = -7 + 2y + -1y2

Combine like terms: y2 + -1y2 = 0
3x + 0 = -7 + 2y + -1y2
3x = -7 + 2y + -1y2

Divide each side by '3'.
x = -2.333333333 + 0.6666666667y + -0.3333333333y2

Simplifying
x = -2.333333333 + 0.6666666667y + -0.3333333333y2

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