y^2+10y-4x+13=0

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Solution for y^2+10y-4x+13=0 equation:


Simplifying
y2 + 10y + -4x + 13 = 0

Reorder the terms:
13 + -4x + 10y + y2 = 0

Solving
13 + -4x + 10y + 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 + 10y + -13 + y2 = 0 + -13

Reorder the terms:
13 + -13 + -4x + 10y + y2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -4x + 10y + y2 = 0 + -13
-4x + 10y + y2 = 0 + -13

Combine like terms: 0 + -13 = -13
-4x + 10y + y2 = -13

Add '-10y' to each side of the equation.
-4x + 10y + -10y + y2 = -13 + -10y

Combine like terms: 10y + -10y = 0
-4x + 0 + y2 = -13 + -10y
-4x + y2 = -13 + -10y

Add '-1y2' to each side of the equation.
-4x + y2 + -1y2 = -13 + -10y + -1y2

Combine like terms: y2 + -1y2 = 0
-4x + 0 = -13 + -10y + -1y2
-4x = -13 + -10y + -1y2

Divide each side by '-4'.
x = 3.25 + 2.5y + 0.25y2

Simplifying
x = 3.25 + 2.5y + 0.25y2

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