(4y+4)(4y+4)=-16

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Solution for (4y+4)(4y+4)=-16 equation: 


Simplifying
(4y + 4)(4y + 4) = -16

Reorder the terms:
(4 + 4y)(4y + 4) = -16

Reorder the terms:
(4 + 4y)(4 + 4y) = -16

Multiply (4 + 4y) * (4 + 4y)
(4(4 + 4y) + 4y * (4 + 4y)) = -16
((4 * 4 + 4y * 4) + 4y * (4 + 4y)) = -16
((16 + 16y) + 4y * (4 + 4y)) = -16
(16 + 16y + (4 * 4y + 4y * 4y)) = -16
(16 + 16y + (16y + 16y2)) = -16

Combine like terms: 16y + 16y = 32y
(16 + 32y + 16y2) = -16

Solving
16 + 32y + 16y2 = -16

Solving for variable 'y'.

Reorder the terms:
16 + 16 + 32y + 16y2 = -16 + 16

Combine like terms: 16 + 16 = 32
32 + 32y + 16y2 = -16 + 16

Combine like terms: -16 + 16 = 0
32 + 32y + 16y2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(2 + 2y + y2) = 0

Ignore the factor 16.

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

Simplifying
2 + 2y + y2 = 0

Solving
2 + 2y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 2y + -2 + y2 = 0 + -2

Reorder the terms:
2 + -2 + 2y + y2 = 0 + -2

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

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

The y term is 2y.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2y + 1 + y2 = -2 + 1

Reorder the terms:
1 + 2y + y2 = -2 + 1

Combine like terms: -2 + 1 = -1
1 + 2y + y2 = -1

Factor a perfect square on the left side:
(y + 1)(y + 1) = -1

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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