(5c-1)(6c-3)=

Solution for (5c-1)(6c-3)= equation:

Simplifying
(5c + -1)(6c + -3) = 0

Reorder the terms:
(-1 + 5c)(6c + -3) = 0

Reorder the terms:
(-1 + 5c)(-3 + 6c) = 0

Multiply (-1 + 5c) * (-3 + 6c)
(-1(-3 + 6c) + 5c * (-3 + 6c)) = 0
((-3 * -1 + 6c * -1) + 5c * (-3 + 6c)) = 0
((3 + -6c) + 5c * (-3 + 6c)) = 0
(3 + -6c + (-3 * 5c + 6c * 5c)) = 0
(3 + -6c + (-15c + 30c2)) = 0

Combine like terms: -6c + -15c = -21c
(3 + -21c + 30c2) = 0

Solving
3 + -21c + 30c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + -7c + 10c2) = 0

Factor a trinomial.
3((1 + -5c)(1 + -2c)) = 0

Ignore the factor 3.
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 '(1 + -2c)' equal to zero and attempt to solve:

Simplifying
1 + -2c = 0

Solving
1 + -2c = 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 + -2c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2c = 0 + -1
-2c = 0 + -1

Combine like terms: 0 + -1 = -1
-2c = -1

Divide each side by '-2'.
c = 0.5

Simplifying
c = 0.5
Solution
c = {0.2, 0.5}