3x+y^2+6y-1=0

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Solution for 3x+y^2+6y-1=0 equation:


Simplifying
3x + y2 + 6y + -1 = 0

Reorder the terms:
-1 + 3x + 6y + y2 = 0

Solving
-1 + 3x + 6y + y2 = 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 + 3x + 6y + 1 + y2 = 0 + 1

Reorder the terms:
-1 + 1 + 3x + 6y + y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3x + 6y + y2 = 0 + 1
3x + 6y + y2 = 0 + 1

Combine like terms: 0 + 1 = 1
3x + 6y + y2 = 1

Add '-6y' to each side of the equation.
3x + 6y + -6y + y2 = 1 + -6y

Combine like terms: 6y + -6y = 0
3x + 0 + y2 = 1 + -6y
3x + y2 = 1 + -6y

Add '-1y2' to each side of the equation.
3x + y2 + -1y2 = 1 + -6y + -1y2

Combine like terms: y2 + -1y2 = 0
3x + 0 = 1 + -6y + -1y2
3x = 1 + -6y + -1y2

Divide each side by '3'.
x = 0.3333333333 + -2y + -0.3333333333y2

Simplifying
x = 0.3333333333 + -2y + -0.3333333333y2

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