30q^2+14q^2-4q=0

Solution for 30q^2+14q^2-4q=0 equation:

Simplifying
30q2 + 14q2 + -4q = 0

Reorder the terms:
-4q + 30q2 + 14q2 = 0

Combine like terms: 30q2 + 14q2 = 44q2
-4q + 44q2 = 0

Solving
-4q + 44q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '4q'.
4q(-1 + 11q) = 0

Ignore the factor 4.
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 '(-1 + 11q)' equal to zero and attempt to solve:

Simplifying
-1 + 11q = 0

Solving
-1 + 11q = 0

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

Add '1' to each side of the equation.
-1 + 1 + 11q = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 11q = 0 + 1
11q = 0 + 1

Combine like terms: 0 + 1 = 1
11q = 1

Divide each side by '11'.
q = 0.09090909091

Simplifying
q = 0.09090909091
Solution
q = {0, 0.09090909091}