(2y+4)(2y+4)=16

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Solution for (2y+4)(2y+4)=16 equation: 


Simplifying
(2y + 4)(2y + 4) = 16

Reorder the terms:
(4 + 2y)(2y + 4) = 16

Reorder the terms:
(4 + 2y)(4 + 2y) = 16

Multiply (4 + 2y) * (4 + 2y)
(4(4 + 2y) + 2y * (4 + 2y)) = 16
((4 * 4 + 2y * 4) + 2y * (4 + 2y)) = 16
((16 + 8y) + 2y * (4 + 2y)) = 16
(16 + 8y + (4 * 2y + 2y * 2y)) = 16
(16 + 8y + (8y + 4y2)) = 16

Combine like terms: 8y + 8y = 16y
(16 + 16y + 4y2) = 16

Add '-16' to each side of the equation.
16 + 16y + -16 + 4y2 = 16 + -16

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

Combine like terms: 16 + -16 = 0
0 + 16y + 4y2 = 16 + -16
16y + 4y2 = 16 + -16

Combine like terms: 16 + -16 = 0
16y + 4y2 = 0

Solving
16y + 4y2 = 0

Solving for variable 'y'.

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

Ignore the factor 4.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 0

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

Simplifying
4 + y = 0

Solving
4 + y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + y = 0 + -4
y = 0 + -4

Combine like terms: 0 + -4 = -4
y = -4

Simplifying
y = -4
Solution
y = {0, -4}

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