(z+6)(z+6)=

Solution for (z+6)(z+6)= equation:

Simplifying
(z + 6)(z + 6) = 0

Reorder the terms:
(6 + z)(z + 6) = 0

Reorder the terms:
(6 + z)(6 + z) = 0

Multiply (6 + z) * (6 + z)
(6(6 + z) + z(6 + z)) = 0
((6 * 6 + z * 6) + z(6 + z)) = 0
((36 + 6z) + z(6 + z)) = 0
(36 + 6z + (6 * z + z * z)) = 0
(36 + 6z + (6z + z2)) = 0

Combine like terms: 6z + 6z = 12z
(36 + 12z + z2) = 0

Solving
36 + 12z + z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(6 + z)(6 + z) = 0

Subproblem 1
Set the factor '(6 + z)' equal to zero and attempt to solve:

Simplifying
6 + z = 0

Solving
6 + z = 0

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

Add '-6' to each side of the equation.
6 + -6 + z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + z = 0 + -6
z = 0 + -6

Combine like terms: 0 + -6 = -6
z = -6

Simplifying
z = -6
Subproblem 2
Set the factor '(6 + z)' equal to zero and attempt to solve:

Simplifying
6 + z = 0

Solving
6 + z = 0

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

Add '-6' to each side of the equation.
6 + -6 + z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + z = 0 + -6
z = 0 + -6

Combine like terms: 0 + -6 = -6
z = -6

Simplifying
z = -6
Solution
z = {-6, -6}