y^2-6y+3x-15=0

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Solution for y^2-6y+3x-15=0 equation:


Simplifying
y2 + -6y + 3x + -15 = 0

Reorder the terms:
-15 + 3x + -6y + y2 = 0

Solving
-15 + 3x + -6y + y2 = 0

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 3x + -6y + 15 + y2 = 0 + 15

Reorder the terms:
-15 + 15 + 3x + -6y + y2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 3x + -6y + y2 = 0 + 15
3x + -6y + y2 = 0 + 15

Combine like terms: 0 + 15 = 15
3x + -6y + y2 = 15

Add '6y' to each side of the equation.
3x + -6y + 6y + y2 = 15 + 6y

Combine like terms: -6y + 6y = 0
3x + 0 + y2 = 15 + 6y
3x + y2 = 15 + 6y

Add '-1y2' to each side of the equation.
3x + y2 + -1y2 = 15 + 6y + -1y2

Combine like terms: y2 + -1y2 = 0
3x + 0 = 15 + 6y + -1y2
3x = 15 + 6y + -1y2

Divide each side by '3'.
x = 5 + 2y + -0.3333333333y2

Simplifying
x = 5 + 2y + -0.3333333333y2

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