24q^2+37q=0

Solution for 24q^2+37q=0 equation:

Simplifying
24q2 + 37q = 0

Reorder the terms:
37q + 24q2 = 0

Solving
37q + 24q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(37 + 24q) = 0

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

Simplifying
q = 0

Solving
q = 0

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

Simplifying
q = 0
Subproblem 2
Set the factor '(37 + 24q)' equal to zero and attempt to solve:

Simplifying
37 + 24q = 0

Solving
37 + 24q = 0

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

Add '-37' to each side of the equation.
37 + -37 + 24q = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 24q = 0 + -37
24q = 0 + -37

Combine like terms: 0 + -37 = -37
24q = -37

Divide each side by '24'.
q = -1.541666667

Simplifying
q = -1.541666667
Solution
q = {0, -1.541666667}