-20m^2q-3mq+9q=0

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Solution for -20m^2q-3mq+9q=0 equation: 


Simplifying
-20m2q + -3mq + 9q = 0

Reorder the terms:
-3mq + -20m2q + 9q = 0

Solving
-3mq + -20m2q + 9q = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(-3m + -20m2 + 9) = 0

Factor a trinomial.
q((-4m + -3)(5m + -3)) = 0


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

Simplifying
q = 0

Solving
q = 0

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

Add '-1q' to each side of the equation.
q + -1q = 0 + -1q
Remove the zero:
0 = -1q

Simplifying
0 = -1q

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 '(-4m + -3)' equal to zero and attempt to solve:

Simplifying
-4m + -3 = 0

Reorder the terms:
-3 + -4m = 0

Solving
-3 + -4m = 0

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

Add '3' to each side of the equation.
-3 + 3 + -4m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4m = 0 + 3
-4m = 0 + 3

Combine like terms: 0 + 3 = 3
-4m = 3

Divide each side by '-4'.
m = -0.75

Simplifying
m = -0.75

Subproblem 3
Set the factor '(5m + -3)' equal to zero and attempt to solve:

Simplifying
5m + -3 = 0

Reorder the terms:
-3 + 5m = 0

Solving
-3 + 5m = 0

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

Add '3' to each side of the equation.
-3 + 3 + 5m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5m = 0 + 3
5m = 0 + 3

Combine like terms: 0 + 3 = 3
5m = 3

Divide each side by '5'.
m = 0.6

Simplifying
m = 0.6
Solution
m = {-0.75, 0.6}

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