(6i)(-1-7i)=

Solution for (6i)(-1-7i)= equation:

Simplifying
(6i)(-1 + -7i) = 0

Remove parenthesis around (6i)
6i(-1 + -7i) = 0
(-1 * 6i + -7i * 6i) = 0
(-6i + -42i2) = 0

Solving
-6i + -42i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-6i'.
-6i(1 + 7i) = 0

Ignore the factor -6.
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 + 7i)' equal to zero and attempt to solve:

Simplifying
1 + 7i = 0

Solving
1 + 7i = 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 + 7i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7i = 0 + -1
7i = 0 + -1

Combine like terms: 0 + -1 = -1
7i = -1

Divide each side by '7'.
i = -0.1428571429

Simplifying
i = -0.1428571429
Solution
i = {0, -0.1428571429}