3z^2-2z-33=

Solution for 3z^2-2z-33= equation:

Simplifying
3z2 + -2z + -33 = 0

Reorder the terms:
-33 + -2z + 3z2 = 0

Solving
-33 + -2z + 3z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-3 + -1z)(11 + -3z) = 0

Subproblem 1
Set the factor '(-3 + -1z)' equal to zero and attempt to solve:

Simplifying
-3 + -1z = 0

Solving
-3 + -1z = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1z = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1z = 0 + 3
-1z = 0 + 3

Combine like terms: 0 + 3 = 3
-1z = 3

Divide each side by '-1'.
z = -3

Simplifying
z = -3
Subproblem 2
Set the factor '(11 + -3z)' equal to zero and attempt to solve:

Simplifying
11 + -3z = 0

Solving
11 + -3z = 0

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

Add '-11' to each side of the equation.
11 + -11 + -3z = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3z = 0 + -11
-3z = 0 + -11

Combine like terms: 0 + -11 = -11
-3z = -11

Divide each side by '-3'.
z = 3.666666667

Simplifying
z = 3.666666667
Solution
z = {-3, 3.666666667}