8z^2-88z+240=0

Solution for 8z^2-88z+240=0 equation:

Simplifying
8z2 + -88z + 240 = 0

Reorder the terms:
240 + -88z + 8z2 = 0

Solving
240 + -88z + 8z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '8'.
8(30 + -11z + z2) = 0

Factor a trinomial.
8((5 + -1z)(6 + -1z)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(5 + -1z)' equal to zero and attempt to solve:

Simplifying
5 + -1z = 0

Solving
5 + -1z = 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 + -1z = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1z = 0 + -5
-1z = 0 + -5

Combine like terms: 0 + -5 = -5
-1z = -5

Divide each side by '-1'.
z = 5

Simplifying
z = 5
Subproblem 2
Set the factor '(6 + -1z)' equal to zero and attempt to solve:

Simplifying
6 + -1z = 0

Solving
6 + -1z = 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 + -1z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1z = 0 + -6
-1z = 0 + -6

Combine like terms: 0 + -6 = -6
-1z = -6

Divide each side by '-1'.
z = 6

Simplifying
z = 6
Solution
z = {5, 6}