(4c-1)(5c-3)=

Solution for (4c-1)(5c-3)= equation:

Simplifying
(4c + -1)(5c + -3) = 0

Reorder the terms:
(-1 + 4c)(5c + -3) = 0

Reorder the terms:
(-1 + 4c)(-3 + 5c) = 0

Multiply (-1 + 4c) * (-3 + 5c)
(-1(-3 + 5c) + 4c * (-3 + 5c)) = 0
((-3 * -1 + 5c * -1) + 4c * (-3 + 5c)) = 0
((3 + -5c) + 4c * (-3 + 5c)) = 0
(3 + -5c + (-3 * 4c + 5c * 4c)) = 0
(3 + -5c + (-12c + 20c2)) = 0

Combine like terms: -5c + -12c = -17c
(3 + -17c + 20c2) = 0

Solving
3 + -17c + 20c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(1 + -4c)(3 + -5c) = 0

Subproblem 1
Set the factor '(1 + -4c)' equal to zero and attempt to solve:

Simplifying
1 + -4c = 0

Solving
1 + -4c = 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 + -4c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4c = 0 + -1
-4c = 0 + -1

Combine like terms: 0 + -1 = -1
-4c = -1

Divide each side by '-4'.
c = 0.25

Simplifying
c = 0.25
Subproblem 2
Set the factor '(3 + -5c)' equal to zero and attempt to solve:

Simplifying
3 + -5c = 0

Solving
3 + -5c = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5c = 0 + -3
-5c = 0 + -3

Combine like terms: 0 + -3 = -3
-5c = -3

Divide each side by '-5'.
c = 0.6

Simplifying
c = 0.6
Solution
c = {0.25, 0.6}