-5i(7-7i)=

Solution for -5i(7-7i)= equation:

Simplifying
-5i(7 + -7i) = 0
(7 * -5i + -7i * -5i) = 0
(-35i + 35i2) = 0

Solving
-35i + 35i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '35i'.
35i(-1 + i) = 0

Ignore the factor 35.
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}