(5c-1)(6c-5)=

Solution for (5c-1)(6c-5)= equation:

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

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

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

Multiply (-1 + 5c) * (-5 + 6c)
(-1(-5 + 6c) + 5c * (-5 + 6c)) = 0
((-5 * -1 + 6c * -1) + 5c * (-5 + 6c)) = 0
((5 + -6c) + 5c * (-5 + 6c)) = 0
(5 + -6c + (-5 * 5c + 6c * 5c)) = 0
(5 + -6c + (-25c + 30c2)) = 0

Combine like terms: -6c + -25c = -31c
(5 + -31c + 30c2) = 0

Solving
5 + -31c + 30c2 = 0

Solving for variable 'c'.

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

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

Simplifying
1 + -5c = 0

Solving
1 + -5c = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5c = 0 + -1
-5c = 0 + -1

Combine like terms: 0 + -1 = -1
-5c = -1

Divide each side by '-5'.
c = 0.2

Simplifying
c = 0.2
Subproblem 2
Set the factor '(5 + -6c)' equal to zero and attempt to solve:

Simplifying
5 + -6c = 0

Solving
5 + -6c = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6c = 0 + -5

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

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

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

Simplifying
c = 0.8333333333
Solution
c = {0.2, 0.8333333333}