6z^10-12z^9-144z^8=

Solution for 6z^10-12z^9-144z^8= equation:

Simplifying
6z10 + -12z9 + -144z8 = 0

Reorder the terms:
-144z8 + -12z9 + 6z10 = 0

Solving
-144z8 + -12z9 + 6z10 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '6z8'.
6z8(-24 + -2z + z2) = 0

Factor a trinomial.
6z8((-4 + -1z)(6 + -1z)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'z8' equal to zero and attempt to solve:

Simplifying
z8 = 0

Solving
z8 = 0

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

Simplifying
z8 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
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 3
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 = {-4, 6}