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

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

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

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

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

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

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

Solving
-3 + 8c + 3c2 = 0

Solving for variable 'c'.

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

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

Simplifying
-3 + -1c = 0

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

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

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

Divide each side by '-1'.
c = -3

Simplifying
c = -3
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 = {-3, 0.3333333333}