(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 = 7c
(-3 + 7c + 20c2) = 0

Solving
-3 + 7c + 20c2 = 0

Solving for variable 'c'.

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

Subproblem 1
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
Subproblem 2
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
Solution
c = {-0.6, 0.25}