(3z+9)(z+9)=

Solution for (3z+9)(z+9)= equation:

Simplifying
(3z + 9)(z + 9) = 0

Reorder the terms:
(9 + 3z)(z + 9) = 0

Reorder the terms:
(9 + 3z)(9 + z) = 0

Multiply (9 + 3z) * (9 + z)
(9(9 + z) + 3z * (9 + z)) = 0
((9 * 9 + z * 9) + 3z * (9 + z)) = 0
((81 + 9z) + 3z * (9 + z)) = 0
(81 + 9z + (9 * 3z + z * 3z)) = 0
(81 + 9z + (27z + 3z2)) = 0

Combine like terms: 9z + 27z = 36z
(81 + 36z + 3z2) = 0

Solving
81 + 36z + 3z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '3'.
3(27 + 12z + z2) = 0

Factor a trinomial.
3((9 + z)(3 + z)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(9 + z)' equal to zero and attempt to solve:

Simplifying
9 + z = 0

Solving
9 + z = 0

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

Add '-9' to each side of the equation.
9 + -9 + z = 0 + -9

Combine like terms: 9 + -9 = 0
0 + z = 0 + -9
z = 0 + -9

Combine like terms: 0 + -9 = -9
z = -9

Simplifying
z = -9
Subproblem 2
Set the factor '(3 + z)' equal to zero and attempt to solve:

Simplifying
3 + z = 0

Solving
3 + z = 0

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

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

Combine like terms: 3 + -3 = 0
0 + z = 0 + -3
z = 0 + -3

Combine like terms: 0 + -3 = -3
z = -3

Simplifying
z = -3
Solution
z = {-9, -3}