(9z+9)(9z+4)=

Solution for (9z+9)(9z+4)= equation:

Simplifying
(9z + 9)(9z + 4) = 0

Reorder the terms:
(9 + 9z)(9z + 4) = 0

Reorder the terms:
(9 + 9z)(4 + 9z) = 0

Multiply (9 + 9z) * (4 + 9z)
(9(4 + 9z) + 9z * (4 + 9z)) = 0
((4 * 9 + 9z * 9) + 9z * (4 + 9z)) = 0
((36 + 81z) + 9z * (4 + 9z)) = 0
(36 + 81z + (4 * 9z + 9z * 9z)) = 0
(36 + 81z + (36z + 81z2)) = 0

Combine like terms: 81z + 36z = 117z
(36 + 117z + 81z2) = 0

Solving
36 + 117z + 81z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '9'.
9(4 + 13z + 9z2) = 0

Factor a trinomial.
9((1 + z)(4 + 9z)) = 0

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

Simplifying
1 + z = 0

Solving
1 + z = 0

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

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

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

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

Simplifying
z = -1
Subproblem 2
Set the factor '(4 + 9z)' equal to zero and attempt to solve:

Simplifying
4 + 9z = 0

Solving
4 + 9z = 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 + 9z = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 9z = 0 + -4
9z = 0 + -4

Combine like terms: 0 + -4 = -4
9z = -4

Divide each side by '9'.
z = -0.4444444444

Simplifying
z = -0.4444444444
Solution
z = {-1, -0.4444444444}