-20m^2q-3mq+35q=

Solution for -20m^2q-3mq+35q= equation:

Simplifying
-20m2q + -3mq + 35q = 0

Reorder the terms:
-3mq + -20m2q + 35q = 0

Solving
-3mq + -20m2q + 35q = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(-3m + -20m2 + 35) = 0

Factor a trinomial.
q((-5m + -7)(4m + -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 '(-5m + -7)' equal to zero and attempt to solve:

Simplifying
-5m + -7 = 0

Reorder the terms:
-7 + -5m = 0

Solving
-7 + -5m = 0

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

Add '7' to each side of the equation.
-7 + 7 + -5m = 0 + 7

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

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

Divide each side by '-5'.
m = -1.4

Simplifying
m = -1.4
Subproblem 3
Set the factor '(4m + -5)' equal to zero and attempt to solve:

Simplifying
4m + -5 = 0

Reorder the terms:
-5 + 4m = 0

Solving
-5 + 4m = 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 + 4m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4m = 0 + 5
4m = 0 + 5

Combine like terms: 0 + 5 = 5
4m = 5

Divide each side by '4'.
m = 1.25

Simplifying
m = 1.25
Solution
m = {-1.4, 1.25}