y^2+6y+4x+13=0

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Solution for y^2+6y+4x+13=0 equation:


Simplifying
y2 + 6y + 4x + 13 = 0

Reorder the terms:
13 + 4x + 6y + y2 = 0

Solving
13 + 4x + 6y + y2 = 0

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + 4x + 6y + -13 + y2 = 0 + -13

Reorder the terms:
13 + -13 + 4x + 6y + y2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 4x + 6y + y2 = 0 + -13
4x + 6y + y2 = 0 + -13

Combine like terms: 0 + -13 = -13
4x + 6y + y2 = -13

Add '-6y' to each side of the equation.
4x + 6y + -6y + y2 = -13 + -6y

Combine like terms: 6y + -6y = 0
4x + 0 + y2 = -13 + -6y
4x + y2 = -13 + -6y

Add '-1y2' to each side of the equation.
4x + y2 + -1y2 = -13 + -6y + -1y2

Combine like terms: y2 + -1y2 = 0
4x + 0 = -13 + -6y + -1y2
4x = -13 + -6y + -1y2

Divide each side by '4'.
x = -3.25 + -1.5y + -0.25y2

Simplifying
x = -3.25 + -1.5y + -0.25y2

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