2z(5z+19)=0

Solution for 2z(5z+19)=0 equation:

Simplifying
2z(5z + 19) = 0

Reorder the terms:
2z(19 + 5z) = 0
(19 * 2z + 5z * 2z) = 0
(38z + 10z2) = 0

Solving
38z + 10z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2z'.
2z(19 + 5z) = 0

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

Simplifying
z = 0

Solving
z = 0

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

Simplifying
z = 0
Subproblem 2
Set the factor '(19 + 5z)' equal to zero and attempt to solve:

Simplifying
19 + 5z = 0

Solving
19 + 5z = 0

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

Add '-19' to each side of the equation.
19 + -19 + 5z = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 5z = 0 + -19
5z = 0 + -19

Combine like terms: 0 + -19 = -19
5z = -19

Divide each side by '5'.
z = -3.8

Simplifying
z = -3.8
Solution
z = {0, -3.8}