56i^2(-6-I)=

Solution for 56i^2(-6-I)= equation:

Simplifying
56i2(-6 + -1I) = 0
(-6 * 56i2 + -1I * 56i2) = 0
(-336i2 + -56i2I) = 0

Solving
-336i2 + -56i2I = 0

Solving for variable 'i'.

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

Factor out the Greatest Common Factor (GCF), '-56i2'.
-56i2(6 + I) = 0

Ignore the factor -56.
Subproblem 1
Set the factor 'i2' equal to zero and attempt to solve:

Simplifying
i2 = 0

Solving
i2 = 0

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

Simplifying
i2 = 0

Take the square root of each side:
i = {0}
Subproblem 2
Set the factor '(6 + I)' equal to zero and attempt to solve:

Simplifying
6 + I = 0

Solving
6 + I = 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 + I = 0 + -6

Combine like terms: 6 + -6 = 0
0 + I = 0 + -6
I = 0 + -6

Combine like terms: 0 + -6 = -6
I = -6

Add '-1I' to each side of the equation.
I + -1I = -6 + -1I

Combine like terms: I + -1I = 0
0 = -6 + -1I

Simplifying
0 = -6 + -1I

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
i = {0}