6q^2-28q=0

Solution for 6q^2-28q=0 equation:

Simplifying
6q2 + -28q = 0

Reorder the terms:
-28q + 6q2 = 0

Solving
-28q + 6q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '2q'.
2q(-14 + 3q) = 0

Ignore the factor 2.
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 '(-14 + 3q)' equal to zero and attempt to solve:

Simplifying
-14 + 3q = 0

Solving
-14 + 3q = 0

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

Add '14' to each side of the equation.
-14 + 14 + 3q = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 3q = 0 + 14
3q = 0 + 14

Combine like terms: 0 + 14 = 14
3q = 14

Divide each side by '3'.
q = 4.666666667

Simplifying
q = 4.666666667
Solution
q = {0, 4.666666667}