16z^2-18z-9=

Solution for 16z^2-18z-9= equation:

Simplifying
16z2 + -18z + -9 = 0

Reorder the terms:
-9 + -18z + 16z2 = 0

Solving
-9 + -18z + 16z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-3 + -8z)(3 + -2z) = 0

Subproblem 1
Set the factor '(-3 + -8z)' equal to zero and attempt to solve:

Simplifying
-3 + -8z = 0

Solving
-3 + -8z = 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 + -8z = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -8z = 0 + 3
-8z = 0 + 3

Combine like terms: 0 + 3 = 3
-8z = 3

Divide each side by '-8'.
z = -0.375

Simplifying
z = -0.375
Subproblem 2
Set the factor '(3 + -2z)' equal to zero and attempt to solve:

Simplifying
3 + -2z = 0

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

Combine like terms: 3 + -3 = 0
0 + -2z = 0 + -3
-2z = 0 + -3

Combine like terms: 0 + -3 = -3
-2z = -3

Divide each side by '-2'.
z = 1.5

Simplifying
z = 1.5
Solution
z = {-0.375, 1.5}