-16y^2+4y-12=0

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Solution for -16y^2+4y-12=0 equation: 


Simplifying
-16y2 + 4y + -12 = 0

Reorder the terms:
-12 + 4y + -16y2 = 0

Solving
-12 + 4y + -16y2 = 0

Solving for variable 'y'.

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

Ignore the factor 4.

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

Simplifying
-3 + y + -4y2 = 0

Solving
-3 + y + -4y2 = 0

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

Divide each side by '-4'.
0.75 + -0.25y + y2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -0.25y + -0.75 + y2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -0.25y + y2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.25y + y2 = 0 + -0.75
-0.25y + y2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-0.25y + y2 = -0.75

The y term is y.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.25y + 0.25 + y2 = -0.75 + 0.25

Reorder the terms:
0.25 + -0.25y + y2 = -0.75 + 0.25

Combine like terms: -0.75 + 0.25 = -0.5
0.25 + -0.25y + y2 = -0.5

Factor a perfect square on the left side:
(y + 0.5)(y + 0.5) = -0.5

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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