16y^2-12y+108=0

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Solution for 16y^2-12y+108=0 equation: 


Simplifying
16y2 + -12y + 108 = 0

Reorder the terms:
108 + -12y + 16y2 = 0

Solving
108 + -12y + 16y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(27 + -3y + 4y2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(27 + -3y + 4y2)' equal to zero and attempt to solve:

Simplifying
27 + -3y + 4y2 = 0

Solving
27 + -3y + 4y2 = 0

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

Divide each side by '4'.
6.75 + -0.75y + y2 = 0

Move the constant term to the right:

Add '-6.75' to each side of the equation.
6.75 + -0.75y + -6.75 + y2 = 0 + -6.75

Reorder the terms:
6.75 + -6.75 + -0.75y + y2 = 0 + -6.75

Combine like terms: 6.75 + -6.75 = 0.00
0.00 + -0.75y + y2 = 0 + -6.75
-0.75y + y2 = 0 + -6.75

Combine like terms: 0 + -6.75 = -6.75
-0.75y + y2 = -6.75

The y term is -0.75y.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75y + 0.140625 + y2 = -6.75 + 0.140625

Reorder the terms:
0.140625 + -0.75y + y2 = -6.75 + 0.140625

Combine like terms: -6.75 + 0.140625 = -6.609375
0.140625 + -0.75y + y2 = -6.609375

Factor a perfect square on the left side:
(y + -0.375)(y + -0.375) = -6.609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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