3y^2-4x+6y-13=0

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Solution for 3y^2-4x+6y-13=0 equation:


Simplifying
3y2 + -4x + 6y + -13 = 0

Reorder the terms:
-13 + -4x + 6y + 3y2 = 0

Solving
-13 + -4x + 6y + 3y2 = 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 + 3y2 = 0 + 13

Reorder the terms:
-13 + 13 + -4x + 6y + 3y2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -4x + 6y + 3y2 = 0 + 13
-4x + 6y + 3y2 = 0 + 13

Combine like terms: 0 + 13 = 13
-4x + 6y + 3y2 = 13

Add '-6y' to each side of the equation.
-4x + 6y + -6y + 3y2 = 13 + -6y

Combine like terms: 6y + -6y = 0
-4x + 0 + 3y2 = 13 + -6y
-4x + 3y2 = 13 + -6y

Add '-3y2' to each side of the equation.
-4x + 3y2 + -3y2 = 13 + -6y + -3y2

Combine like terms: 3y2 + -3y2 = 0
-4x + 0 = 13 + -6y + -3y2
-4x = 13 + -6y + -3y2

Divide each side by '-4'.
x = -3.25 + 1.5y + 0.75y2

Simplifying
x = -3.25 + 1.5y + 0.75y2

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