4y^2-4y+6x-15=0

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Solution for 4y^2-4y+6x-15=0 equation:


Simplifying
4y2 + -4y + 6x + -15 = 0

Reorder the terms:
-15 + 6x + -4y + 4y2 = 0

Solving
-15 + 6x + -4y + 4y2 = 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 + 6x + -4y + 15 + 4y2 = 0 + 15

Reorder the terms:
-15 + 15 + 6x + -4y + 4y2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 6x + -4y + 4y2 = 0 + 15
6x + -4y + 4y2 = 0 + 15

Combine like terms: 0 + 15 = 15
6x + -4y + 4y2 = 15

Add '4y' to each side of the equation.
6x + -4y + 4y + 4y2 = 15 + 4y

Combine like terms: -4y + 4y = 0
6x + 0 + 4y2 = 15 + 4y
6x + 4y2 = 15 + 4y

Add '-4y2' to each side of the equation.
6x + 4y2 + -4y2 = 15 + 4y + -4y2

Combine like terms: 4y2 + -4y2 = 0
6x + 0 = 15 + 4y + -4y2
6x = 15 + 4y + -4y2

Divide each side by '6'.
x = 2.5 + 0.6666666667y + -0.6666666667y2

Simplifying
x = 2.5 + 0.6666666667y + -0.6666666667y2

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