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

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


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

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

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

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

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

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

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

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

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

Solving
16y + 16y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '16y'.
16y(1 + 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 '(1 + y)' equal to zero and attempt to solve:

Simplifying
1 + y = 0

Solving
1 + y = 0

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

Add '-1' to each side of the equation.
1 + -1 + y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + y = 0 + -1
y = 0 + -1

Combine like terms: 0 + -1 = -1
y = -1

Simplifying
y = -1
Solution
y = {0, -1}

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