(-7i)(1+i)=

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

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

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

Solving
-7i + -7i2 = 0

Solving for variable 'i'.

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

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

Simplifying
1 + i = 0

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

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

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

Simplifying
i = -1
Solution
i = {0, -1}