mz^2-4mz-32m=0

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Solution for mz^2-4mz-32m=0 equation: 


Simplifying
mz2 + -4mz + -32m = 0

Reorder the terms:
-32m + -4mz + mz2 = 0

Solving
-32m + -4mz + mz2 = 0

Solving for variable 'm'.

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

Factor out the Greatest Common Factor (GCF), 'm'.
m(-32 + -4z + z2) = 0

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


Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

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 m 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

Add 'z' to each side of the equation.
-1z + z = 4 + z

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

Simplifying
0 = 4 + z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Simplifying
8 + -1z = 0

Solving
8 + -1z = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1z = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1z = 0 + -8
-1z = 0 + -8

Combine like terms: 0 + -8 = -8
-1z = -8

Add 'z' to each side of the equation.
-1z + z = -8 + z

Combine like terms: -1z + z = 0
0 = -8 + z

Simplifying
0 = -8 + z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}

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