(9z-2)(z+4)=

Solution for (9z-2)(z+4)= equation:

Simplifying
(9z + -2)(z + 4) = 0

Reorder the terms:
(-2 + 9z)(z + 4) = 0

Reorder the terms:
(-2 + 9z)(4 + z) = 0

Multiply (-2 + 9z) * (4 + z)
(-2(4 + z) + 9z * (4 + z)) = 0
((4 * -2 + z * -2) + 9z * (4 + z)) = 0
((-8 + -2z) + 9z * (4 + z)) = 0
(-8 + -2z + (4 * 9z + z * 9z)) = 0
(-8 + -2z + (36z + 9z2)) = 0

Combine like terms: -2z + 36z = 34z
(-8 + 34z + 9z2) = 0

Solving
-8 + 34z + 9z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-4 + -1z)(2 + -9z) = 0

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

Simplifying
-4 + -1z = 0

Solving
-4 + -1z = 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 + -1z = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1z = 0 + 4
-1z = 0 + 4

Combine like terms: 0 + 4 = 4
-1z = 4

Divide each side by '-1'.
z = -4

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

Simplifying
2 + -9z = 0

Solving
2 + -9z = 0

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

Add '-2' to each side of the equation.
2 + -2 + -9z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9z = 0 + -2
-9z = 0 + -2

Combine like terms: 0 + -2 = -2
-9z = -2

Divide each side by '-9'.
z = 0.2222222222

Simplifying
z = 0.2222222222
Solution
z = {-4, 0.2222222222}