40m^2q+mq-6q=0

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Solution for 40m^2q+mq-6q=0 equation: 


Simplifying
40m2q + mq + -6q = 0

Reorder the terms:
mq + 40m2q + -6q = 0

Solving
mq + 40m2q + -6q = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(m + 40m2 + -6) = 0

Factor a trinomial.
q((8m + -3)(5m + 2)) = 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 '(8m + -3)' equal to zero and attempt to solve:

Simplifying
8m + -3 = 0

Reorder the terms:
-3 + 8m = 0

Solving
-3 + 8m = 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 + 8m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 8m = 0 + 3
8m = 0 + 3

Combine like terms: 0 + 3 = 3
8m = 3

Divide each side by '8'.
m = 0.375

Simplifying
m = 0.375

Subproblem 3
Set the factor '(5m + 2)' equal to zero and attempt to solve:

Simplifying
5m + 2 = 0

Reorder the terms:
2 + 5m = 0

Solving
2 + 5m = 0

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

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

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

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

Divide each side by '5'.
m = -0.4

Simplifying
m = -0.4
Solution
m = {0.375, -0.4}

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