8z^2-29z-244=0

Solution for 8z^2-29z-244=0 equation:

Simplifying
8z2 + -29z + -244 = 0

Reorder the terms:
-244 + -29z + 8z2 = 0

Solving
-244 + -29z + 8z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-4 + -1z)(61 + -8z) = 0

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

Simplifying
-4 + -1z = 0

Solving
-4 + -1z = 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 + -1z = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1z = 0 + 4
-1z = 0 + 4

Combine like terms: 0 + 4 = 4
-1z = 4

Divide each side by '-1'.
z = -4

Simplifying
z = -4
Subproblem 2
Set the factor '(61 + -8z)' equal to zero and attempt to solve:

Simplifying
61 + -8z = 0

Solving
61 + -8z = 0

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

Add '-61' to each side of the equation.
61 + -61 + -8z = 0 + -61

Combine like terms: 61 + -61 = 0
0 + -8z = 0 + -61
-8z = 0 + -61

Combine like terms: 0 + -61 = -61
-8z = -61

Divide each side by '-8'.
z = 7.625

Simplifying
z = 7.625
Solution
z = {-4, 7.625}