(4C-1)(5C+3)=0

Solution for (4C-1)(5C+3)=0 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}