18q^2-48q+30=0

Solution for 18q^2-48q+30=0 equation:

Simplifying
18q2 + -48q + 30 = 0

Reorder the terms:
30 + -48q + 18q2 = 0

Solving
30 + -48q + 18q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '6'.
6(5 + -8q + 3q2) = 0

Factor a trinomial.
6((1 + -1q)(5 + -3q)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(1 + -1q)' equal to zero and attempt to solve:

Simplifying
1 + -1q = 0

Solving
1 + -1q = 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 + -1q = 0 + -1

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

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

Divide each side by '-1'.
q = 1

Simplifying
q = 1
Subproblem 2
Set the factor '(5 + -3q)' equal to zero and attempt to solve:

Simplifying
5 + -3q = 0

Solving
5 + -3q = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3q = 0 + -5
-3q = 0 + -5

Combine like terms: 0 + -5 = -5
-3q = -5

Divide each side by '-3'.
q = 1.666666667

Simplifying
q = 1.666666667
Solution
q = {1, 1.666666667}