4y^2+6x-3y=33

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Solution for 4y^2+6x-3y=33 equation: 


Simplifying
4y2 + 6x + -3y = 33

Reorder the terms:
6x + -3y + 4y2 = 33

Solving
6x + -3y + 4y2 = 33

Solving for variable 'x'.

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

Add '3y' to each side of the equation.
6x + -3y + 3y + 4y2 = 33 + 3y

Combine like terms: -3y + 3y = 0
6x + 0 + 4y2 = 33 + 3y
6x + 4y2 = 33 + 3y

Add '-4y2' to each side of the equation.
6x + 4y2 + -4y2 = 33 + 3y + -4y2

Combine like terms: 4y2 + -4y2 = 0
6x + 0 = 33 + 3y + -4y2
6x = 33 + 3y + -4y2

Divide each side by '6'.
x = 5.5 + 0.5y + -0.6666666667y2

Simplifying
x = 5.5 + 0.5y + -0.6666666667y2

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