(8q-5)(6q-1)=0

Solution for (8q-5)(6q-1)=0 equation:

Simplifying
(8q + -5)(6q + -1) = 0

Reorder the terms:
(-5 + 8q)(6q + -1) = 0

Reorder the terms:
(-5 + 8q)(-1 + 6q) = 0

Multiply (-5 + 8q) * (-1 + 6q)
(-5(-1 + 6q) + 8q * (-1 + 6q)) = 0
((-1 * -5 + 6q * -5) + 8q * (-1 + 6q)) = 0
((5 + -30q) + 8q * (-1 + 6q)) = 0
(5 + -30q + (-1 * 8q + 6q * 8q)) = 0
(5 + -30q + (-8q + 48q2)) = 0

Combine like terms: -30q + -8q = -38q
(5 + -38q + 48q2) = 0

Solving
5 + -38q + 48q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(1 + -6q)(5 + -8q) = 0

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

Simplifying
1 + -6q = 0

Solving
1 + -6q = 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 + -6q = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6q = 0 + -1
-6q = 0 + -1

Combine like terms: 0 + -1 = -1
-6q = -1

Divide each side by '-6'.
q = 0.1666666667

Simplifying
q = 0.1666666667
Subproblem 2
Set the factor '(5 + -8q)' equal to zero and attempt to solve:

Simplifying
5 + -8q = 0

Solving
5 + -8q = 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 + -8q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8q = 0 + -5
-8q = 0 + -5

Combine like terms: 0 + -5 = -5
-8q = -5

Divide each side by '-8'.
q = 0.625

Simplifying
q = 0.625
Solution
q = {0.1666666667, 0.625}