-8z^2+48z-72=0

Solution for -8z^2+48z-72=0 equation:

Simplifying
-8z2 + 48z + -72 = 0

Reorder the terms:
-72 + 48z + -8z2 = 0

Solving
-72 + 48z + -8z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-9 + 6z + -1z2) = 0

Factor a trinomial.
8((-3 + z)(3 + -1z)) = 0

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

Simplifying
-3 + z = 0

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

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

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

Simplifying
z = 3
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 = {3, 3}