2c(1+16c)=0

Solution for 2c(1+16c)=0 equation:

Simplifying
2c(1 + 16c) = 0
(1 * 2c + 16c * 2c) = 0
(2c + 32c2) = 0

Solving
2c + 32c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2c'.
2c(1 + 16c) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'c' equal to zero and attempt to solve:

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0
Subproblem 2
Set the factor '(1 + 16c)' equal to zero and attempt to solve:

Simplifying
1 + 16c = 0

Solving
1 + 16c = 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 + 16c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 16c = 0 + -1
16c = 0 + -1

Combine like terms: 0 + -1 = -1
16c = -1

Divide each side by '16'.
c = -0.0625

Simplifying
c = -0.0625
Solution
c = {0, -0.0625}