4y^2-12y+2x+3=0

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Solution for 4y^2-12y+2x+3=0 equation:


Simplifying
4y2 + -12y + 2x + 3 = 0

Reorder the terms:
3 + 2x + -12y + 4y2 = 0

Solving
3 + 2x + -12y + 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 + 2x + -12y + -3 + 4y2 = 0 + -3

Reorder the terms:
3 + -3 + 2x + -12y + 4y2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x + -12y + 4y2 = 0 + -3
2x + -12y + 4y2 = 0 + -3

Combine like terms: 0 + -3 = -3
2x + -12y + 4y2 = -3

Add '12y' to each side of the equation.
2x + -12y + 12y + 4y2 = -3 + 12y

Combine like terms: -12y + 12y = 0
2x + 0 + 4y2 = -3 + 12y
2x + 4y2 = -3 + 12y

Add '-4y2' to each side of the equation.
2x + 4y2 + -4y2 = -3 + 12y + -4y2

Combine like terms: 4y2 + -4y2 = 0
2x + 0 = -3 + 12y + -4y2
2x = -3 + 12y + -4y2

Divide each side by '2'.
x = -1.5 + 6y + -2y2

Simplifying
x = -1.5 + 6y + -2y2

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