2(z+4)(z+4)=

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

Simplifying
2(z + 4)(z + 4) = 0

Reorder the terms:
2(4 + z)(z + 4) = 0

Reorder the terms:
2(4 + z)(4 + z) = 0

Multiply (4 + z) * (4 + z)
2(4(4 + z) + z(4 + z)) = 0
2((4 * 4 + z * 4) + z(4 + z)) = 0
2((16 + 4z) + z(4 + z)) = 0
2(16 + 4z + (4 * z + z * z)) = 0
2(16 + 4z + (4z + z2)) = 0

Combine like terms: 4z + 4z = 8z
2(16 + 8z + z2) = 0
(16 * 2 + 8z * 2 + z2 * 2) = 0
(32 + 16z + 2z2) = 0

Solving
32 + 16z + 2z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + 8z + z2) = 0

Factor a trinomial.
2((4 + z)(4 + z)) = 0

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

Simplifying
4 + z = 0

Solving
4 + z = 0

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

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

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

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

Simplifying
z = -4
Subproblem 2
Set the factor '(4 + z)' equal to zero and attempt to solve:

Simplifying
4 + z = 0

Solving
4 + z = 0

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

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

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

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

Simplifying
z = -4
Solution
z = {-4, -4}