7i(9-9i)=

Solution for 7i(9-9i)= equation:

Simplifying
7i(9 + -9i) = 0
(9 * 7i + -9i * 7i) = 0
(63i + -63i2) = 0

Solving
63i + -63i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '63i'.
63i(1 + -1i) = 0

Ignore the factor 63.
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 + -1i)' equal to zero and attempt to solve:

Simplifying
1 + -1i = 0

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

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

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

Divide each side by '-1'.
i = 1

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