(4i)(1+6i)=

Solution for (4i)(1+6i)= equation:

Simplifying
(4i)(1 + 6i) = 0

Remove parenthesis around (4i)
4i(1 + 6i) = 0
(1 * 4i + 6i * 4i) = 0
(4i + 24i2) = 0

Solving
4i + 24i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '4i'.
4i(1 + 6i) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'i' equal to zero and attempt to solve:

Simplifying
i = 0

Solving
i = 0

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

Simplifying
i = 0
Subproblem 2
Set the factor '(1 + 6i)' equal to zero and attempt to solve:

Simplifying
1 + 6i = 0

Solving
1 + 6i = 0

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

Add '-1' to each side of the equation.
1 + -1 + 6i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6i = 0 + -1
6i = 0 + -1

Combine like terms: 0 + -1 = -1
6i = -1

Divide each side by '6'.
i = -0.1666666667

Simplifying
i = -0.1666666667
Solution
i = {0, -0.1666666667}