(1-6q)(2+5q)=0

Solution for (1-6q)(2+5q)=0 equation:

Simplifying
(1 + -6q)(2 + 5q) = 0

Multiply (1 + -6q) * (2 + 5q)
(1(2 + 5q) + -6q * (2 + 5q)) = 0
((2 * 1 + 5q * 1) + -6q * (2 + 5q)) = 0
((2 + 5q) + -6q * (2 + 5q)) = 0
(2 + 5q + (2 * -6q + 5q * -6q)) = 0
(2 + 5q + (-12q + -30q2)) = 0

Combine like terms: 5q + -12q = -7q
(2 + -7q + -30q2) = 0

Solving
2 + -7q + -30q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(1 + -6q)(2 + 5q) = 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 '(2 + 5q)' equal to zero and attempt to solve:

Simplifying
2 + 5q = 0

Solving
2 + 5q = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5q = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5q = 0 + -2
5q = 0 + -2

Combine like terms: 0 + -2 = -2
5q = -2

Divide each side by '5'.
q = -0.4

Simplifying
q = -0.4
Solution
q = {0.1666666667, -0.4}