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

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

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

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

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

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

Combine like terms: 5q + -6q = -1q
(-5 + -1q + 6q2) = 0

Solving
-5 + -1q + 6q2 = 0

Solving for variable 'q'.

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

Subproblem 1
Set the factor '(-5 + -6q)' equal to zero and attempt to solve:

Simplifying
-5 + -6q = 0

Solving
-5 + -6q = 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 + -6q = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6q = 0 + 5
-6q = 0 + 5

Combine like terms: 0 + 5 = 5
-6q = 5

Divide each side by '-6'.
q = -0.8333333333

Simplifying
q = -0.8333333333
Subproblem 2
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
Solution
q = {-0.8333333333, 1}