-42m^2q-5mq+25q=

Solution for -42m^2q-5mq+25q= equation:

Simplifying
-42m2q + -5mq + 25q = 0

Reorder the terms:
-5mq + -42m2q + 25q = 0

Solving
-5mq + -42m2q + 25q = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(-5m + -42m2 + 25) = 0

Factor a trinomial.
q((-6m + -5)(7m + -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 '(-6m + -5)' equal to zero and attempt to solve:

Simplifying
-6m + -5 = 0

Reorder the terms:
-5 + -6m = 0

Solving
-5 + -6m = 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 + -6m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6m = 0 + 5
-6m = 0 + 5

Combine like terms: 0 + 5 = 5
-6m = 5

Divide each side by '-6'.
m = -0.8333333333

Simplifying
m = -0.8333333333
Subproblem 3
Set the factor '(7m + -5)' equal to zero and attempt to solve:

Simplifying
7m + -5 = 0

Reorder the terms:
-5 + 7m = 0

Solving
-5 + 7m = 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 + 7m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 7m = 0 + 5
7m = 0 + 5

Combine like terms: 0 + 5 = 5
7m = 5

Divide each side by '7'.
m = 0.7142857143

Simplifying
m = 0.7142857143
Solution
m = {-0.8333333333, 0.7142857143}