4(3+2y)(3+2y)=

Solution for 4(3+2y)(3+2y)= equation:

Simplifying
4(3 + 2y)(3 + 2y) = 0

Multiply (3 + 2y) * (3 + 2y)
4(3(3 + 2y) + 2y * (3 + 2y)) = 0
4((3 * 3 + 2y * 3) + 2y * (3 + 2y)) = 0
4((9 + 6y) + 2y * (3 + 2y)) = 0
4(9 + 6y + (3 * 2y + 2y * 2y)) = 0
4(9 + 6y + (6y + 4y2)) = 0

Combine like terms: 6y + 6y = 12y
4(9 + 12y + 4y2) = 0
(9 * 4 + 12y * 4 + 4y2 * 4) = 0
(36 + 48y + 16y2) = 0

Solving
36 + 48y + 16y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + 12y + 4y2) = 0

Factor a trinomial.
4((3 + 2y)(3 + 2y)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + 2y)' equal to zero and attempt to solve:

Simplifying
3 + 2y = 0

Solving
3 + 2y = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2y = 0 + -3
2y = 0 + -3

Combine like terms: 0 + -3 = -3
2y = -3

Divide each side by '2'.
y = -1.5

Simplifying
y = -1.5
Subproblem 2
Set the factor '(3 + 2y)' equal to zero and attempt to solve:

Simplifying
3 + 2y = 0

Solving
3 + 2y = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2y = 0 + -3
2y = 0 + -3

Combine like terms: 0 + -3 = -3
2y = -3

Divide each side by '2'.
y = -1.5

Simplifying
y = -1.5
Solution
y = {-1.5, -1.5}