-6m^2q-5mq+25q=0

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Solution for -6m^2q-5mq+25q=0 equation: 


Simplifying
-6m2q + -5mq + 25q = 0

Reorder the terms:
-5mq + -6m2q + 25q = 0

Solving
-5mq + -6m2q + 25q = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(-5m + -6m2 + 25) = 0

Factor a trinomial.
q((-2m + -5)(3m + -5)) = 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 '(-2m + -5)' equal to zero and attempt to solve:

Simplifying
-2m + -5 = 0

Reorder the terms:
-5 + -2m = 0

Solving
-5 + -2m = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2m = 0 + 5
-2m = 0 + 5

Combine like terms: 0 + 5 = 5
-2m = 5

Divide each side by '-2'.
m = -2.5

Simplifying
m = -2.5

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

Simplifying
3m + -5 = 0

Reorder the terms:
-5 + 3m = 0

Solving
-5 + 3m = 0

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

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

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

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

Divide each side by '3'.
m = 1.666666667

Simplifying
m = 1.666666667
Solution
m = {-2.5, 1.666666667}

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