m^3z^2-20m^2z^2+99mz^2=0

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Solution for m^3z^2-20m^2z^2+99mz^2=0 equation: 


Simplifying
m3z2 + -20m2z2 + 99mz2 = 0

Reorder the terms:
99mz2 + -20m2z2 + m3z2 = 0

Solving
99mz2 + -20m2z2 + m3z2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'mz2'.
mz2(99 + -20m + m2) = 0

Factor a trinomial.
mz2((9 + -1m)(11 + -1m)) = 0


Subproblem 1
Set the factor 'mz2' equal to zero and attempt to solve:

Simplifying
mz2 = 0

Solving
mz2 = 0

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

Simplifying
mz2 = 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 '(9 + -1m)' equal to zero and attempt to solve:

Simplifying
9 + -1m = 0

Solving
9 + -1m = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1m = 0 + -9
-1m = 0 + -9

Combine like terms: 0 + -9 = -9
-1m = -9

Divide each side by '-1'.
m = 9

Simplifying
m = 9

Subproblem 3
Set the factor '(11 + -1m)' equal to zero and attempt to solve:

Simplifying
11 + -1m = 0

Solving
11 + -1m = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1m = 0 + -11
-1m = 0 + -11

Combine like terms: 0 + -11 = -11
-1m = -11

Divide each side by '-1'.
m = 11

Simplifying
m = 11
Solution
m = {9, 11}

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