-6y+4=-2y(4y+4)

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Solution for -6y+4=-2y(4y+4) equation: 


Simplifying
-6y + 4 = -2y(4y + 4)

Reorder the terms:
4 + -6y = -2y(4y + 4)

Reorder the terms:
4 + -6y = -2y(4 + 4y)
4 + -6y = (4 * -2y + 4y * -2y)
4 + -6y = (-8y + -8y2)

Solving
4 + -6y = -8y + -8y2

Solving for variable 'y'.

Combine like terms: -6y + 8y = 2y
4 + 2y + 8y2 = -8y + -8y2 + 8y + 8y2

Reorder the terms:
4 + 2y + 8y2 = -8y + 8y + -8y2 + 8y2

Combine like terms: -8y + 8y = 0
4 + 2y + 8y2 = 0 + -8y2 + 8y2
4 + 2y + 8y2 = -8y2 + 8y2

Combine like terms: -8y2 + 8y2 = 0
4 + 2y + 8y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + y + 4y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + y + 4y2)' equal to zero and attempt to solve:

Simplifying
2 + y + 4y2 = 0

Solving
2 + y + 4y2 = 0

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

Divide each side by '4'.
0.5 + 0.25y + y2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + 0.25y + -0.5 + y2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + 0.25y + y2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.25y + y2 = 0 + -0.5
0.25y + y2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
0.25y + y2 = -0.5

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 = -0.5 + 0.25

Reorder the terms:
0.25 + 0.25y + y2 = -0.5 + 0.25

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

Factor a perfect square on the left side:
(y + 0.5)(y + 0.5) = -0.25

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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