(4y+8)(4y+8)=64

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Solution for (4y+8)(4y+8)=64 equation: 


Simplifying
(4y + 8)(4y + 8) = 64

Reorder the terms:
(8 + 4y)(4y + 8) = 64

Reorder the terms:
(8 + 4y)(8 + 4y) = 64

Multiply (8 + 4y) * (8 + 4y)
(8(8 + 4y) + 4y * (8 + 4y)) = 64
((8 * 8 + 4y * 8) + 4y * (8 + 4y)) = 64
((64 + 32y) + 4y * (8 + 4y)) = 64
(64 + 32y + (8 * 4y + 4y * 4y)) = 64
(64 + 32y + (32y + 16y2)) = 64

Combine like terms: 32y + 32y = 64y
(64 + 64y + 16y2) = 64

Add '-64' to each side of the equation.
64 + 64y + -64 + 16y2 = 64 + -64

Reorder the terms:
64 + -64 + 64y + 16y2 = 64 + -64

Combine like terms: 64 + -64 = 0
0 + 64y + 16y2 = 64 + -64
64y + 16y2 = 64 + -64

Combine like terms: 64 + -64 = 0
64y + 16y2 = 0

Solving
64y + 16y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '16y'.
16y(4 + y) = 0

Ignore the factor 16.

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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