(3c-1)(8c+3)=

Solution for (3c-1)(8c+3)= equation:

Simplifying
(3c + -1)(8c + 3) = 0

Reorder the terms:
(-1 + 3c)(8c + 3) = 0

Reorder the terms:
(-1 + 3c)(3 + 8c) = 0

Multiply (-1 + 3c) * (3 + 8c)
(-1(3 + 8c) + 3c * (3 + 8c)) = 0
((3 * -1 + 8c * -1) + 3c * (3 + 8c)) = 0
((-3 + -8c) + 3c * (3 + 8c)) = 0
(-3 + -8c + (3 * 3c + 8c * 3c)) = 0
(-3 + -8c + (9c + 24c2)) = 0

Combine like terms: -8c + 9c = 1c
(-3 + 1c + 24c2) = 0

Solving
-3 + 1c + 24c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-3 + -8c)(1 + -3c) = 0

Subproblem 1
Set the factor '(-3 + -8c)' equal to zero and attempt to solve:

Simplifying
-3 + -8c = 0

Solving
-3 + -8c = 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 + -8c = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -8c = 0 + 3
-8c = 0 + 3

Combine like terms: 0 + 3 = 3
-8c = 3

Divide each side by '-8'.
c = -0.375

Simplifying
c = -0.375
Subproblem 2
Set the factor '(1 + -3c)' equal to zero and attempt to solve:

Simplifying
1 + -3c = 0

Solving
1 + -3c = 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 + -3c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3c = 0 + -1
-3c = 0 + -1

Combine like terms: 0 + -1 = -1
-3c = -1

Divide each side by '-3'.
c = 0.3333333333

Simplifying
c = 0.3333333333
Solution
c = {-0.375, 0.3333333333}