200+30z+z^2=

Solution for 200+30z+z^2= equation:

Simplifying
200 + 30z + z2 = 0

Solving
200 + 30z + z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(20 + z)(10 + z) = 0

Subproblem 1
Set the factor '(20 + z)' equal to zero and attempt to solve:

Simplifying
20 + z = 0

Solving
20 + z = 0

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

Add '-20' to each side of the equation.
20 + -20 + z = 0 + -20

Combine like terms: 20 + -20 = 0
0 + z = 0 + -20
z = 0 + -20

Combine like terms: 0 + -20 = -20
z = -20

Simplifying
z = -20
Subproblem 2
Set the factor '(10 + z)' equal to zero and attempt to solve:

Simplifying
10 + z = 0

Solving
10 + z = 0

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

Add '-10' to each side of the equation.
10 + -10 + z = 0 + -10

Combine like terms: 10 + -10 = 0
0 + z = 0 + -10
z = 0 + -10

Combine like terms: 0 + -10 = -10
z = -10

Simplifying
z = -10
Solution
z = {-20, -10}