4y^2-6y+3=0

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


Simplifying
4y2 + -6y + 3 = 0

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

Solving
3 + -6y + 4y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
0.75 + -1.5y + y2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -1.5y + -0.75 + y2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -1.5y + y2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1.5y + y2 = 0 + -0.75
-1.5y + y2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-1.5y + y2 = -0.75

The y term is -1.5y.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5y + 0.5625 + y2 = -0.75 + 0.5625

Reorder the terms:
0.5625 + -1.5y + y2 = -0.75 + 0.5625

Combine like terms: -0.75 + 0.5625 = -0.1875
0.5625 + -1.5y + y2 = -0.1875

Factor a perfect square on the left side:
(y + -0.75)(y + -0.75) = -0.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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