5z^2-11z-12=0

Solution for 5z^2-11z-12=0 equation:

Simplifying
5z2 + -11z + -12 = 0

Reorder the terms:
-12 + -11z + 5z2 = 0

Solving
-12 + -11z + 5z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-4 + -5z)(3 + -1z) = 0

Subproblem 1
Set the factor '(-4 + -5z)' equal to zero and attempt to solve:

Simplifying
-4 + -5z = 0

Solving
-4 + -5z = 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 + -5z = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5z = 0 + 4
-5z = 0 + 4

Combine like terms: 0 + 4 = 4
-5z = 4

Divide each side by '-5'.
z = -0.8

Simplifying
z = -0.8
Subproblem 2
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
Solution
z = {-0.8, 3}