3(c+5)4(1-2c)=

Solution for 3(c+5)4(1-2c)= equation:

Simplifying
3(c + 5) * 4(1 + -2c) = 0

Reorder the terms:
3(5 + c) * 4(1 + -2c) = 0

Reorder the terms for easier multiplication:
3 * 4(5 + c)(1 + -2c) = 0

Multiply 3 * 4
12(5 + c)(1 + -2c) = 0

Multiply (5 + c) * (1 + -2c)
12(5(1 + -2c) + c(1 + -2c)) = 0
12((1 * 5 + -2c * 5) + c(1 + -2c)) = 0
12((5 + -10c) + c(1 + -2c)) = 0
12(5 + -10c + (1 * c + -2c * c)) = 0
12(5 + -10c + (1c + -2c2)) = 0

Combine like terms: -10c + 1c = -9c
12(5 + -9c + -2c2) = 0
(5 * 12 + -9c * 12 + -2c2 * 12) = 0
(60 + -108c + -24c2) = 0

Solving
60 + -108c + -24c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '12'.
12(5 + -9c + -2c2) = 0

Factor a trinomial.
12((1 + -2c)(5 + c)) = 0

Ignore the factor 12.
Subproblem 1
Set the factor '(1 + -2c)' equal to zero and attempt to solve:

Simplifying
1 + -2c = 0

Solving
1 + -2c = 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 + -2c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2c = 0 + -1
-2c = 0 + -1

Combine like terms: 0 + -1 = -1
-2c = -1

Divide each side by '-2'.
c = 0.5

Simplifying
c = 0.5
Subproblem 2
Set the factor '(5 + c)' equal to zero and attempt to solve:

Simplifying
5 + c = 0

Solving
5 + c = 0

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

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

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

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

Simplifying
c = -5
Solution
c = {0.5, -5}