11z+30z^2-30=0

Solution for 11z+30z^2-30=0 equation:

Simplifying
11z + 30z2 + -30 = 0

Reorder the terms:
-30 + 11z + 30z2 = 0

Solving
-30 + 11z + 30z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-6 + -5z)(5 + -6z) = 0

Subproblem 1
Set the factor '(-6 + -5z)' equal to zero and attempt to solve:

Simplifying
-6 + -5z = 0

Solving
-6 + -5z = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5z = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5z = 0 + 6
-5z = 0 + 6

Combine like terms: 0 + 6 = 6
-5z = 6

Divide each side by '-5'.
z = -1.2

Simplifying
z = -1.2
Subproblem 2
Set the factor '(5 + -6z)' equal to zero and attempt to solve:

Simplifying
5 + -6z = 0

Solving
5 + -6z = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6z = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6z = 0 + -5
-6z = 0 + -5

Combine like terms: 0 + -5 = -5
-6z = -5

Divide each side by '-6'.
z = 0.8333333333

Simplifying
z = 0.8333333333
Solution
z = {-1.2, 0.8333333333}