7i(6-7i)=

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

Simplifying
7i(6 + -7i) = 0
(6 * 7i + -7i * 7i) = 0
(42i + -49i2) = 0

Solving
42i + -49i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '7i'.
7i(6 + -7i) = 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 '(6 + -7i)' equal to zero and attempt to solve:

Simplifying
6 + -7i = 0

Solving
6 + -7i = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7i = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7i = 0 + -6
-7i = 0 + -6

Combine like terms: 0 + -6 = -6
-7i = -6

Divide each side by '-7'.
i = 0.8571428571

Simplifying
i = 0.8571428571
Solution
i = {0, 0.8571428571}