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

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


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

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

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

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + 3x + -4y + -3 + 4y2 = 0 + -3

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

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

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

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

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

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

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

Divide each side by '3'.
x = -1 + 1.333333333y + -1.333333333y2

Simplifying
x = -1 + 1.333333333y + -1.333333333y2

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