y^2-10y+3x+13=0

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Solution for y^2-10y+3x+13=0 equation:


Simplifying
y2 + -10y + 3x + 13 = 0

Reorder the terms:
13 + 3x + -10y + y2 = 0

Solving
13 + 3x + -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 + 3x + -10y + -13 + y2 = 0 + -13

Reorder the terms:
13 + -13 + 3x + -10y + y2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 3x + -10y + y2 = 0 + -13
3x + -10y + y2 = 0 + -13

Combine like terms: 0 + -13 = -13
3x + -10y + y2 = -13

Add '10y' to each side of the equation.
3x + -10y + 10y + y2 = -13 + 10y

Combine like terms: -10y + 10y = 0
3x + 0 + y2 = -13 + 10y
3x + y2 = -13 + 10y

Add '-1y2' to each side of the equation.
3x + y2 + -1y2 = -13 + 10y + -1y2

Combine like terms: y2 + -1y2 = 0
3x + 0 = -13 + 10y + -1y2
3x = -13 + 10y + -1y2

Divide each side by '3'.
x = -4.333333333 + 3.333333333y + -0.3333333333y2

Simplifying
x = -4.333333333 + 3.333333333y + -0.3333333333y2

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