5i(i-6)=0

Solution for 5i(i-6)=0 equation:

Simplifying
5i(i + -6) = 0

Reorder the terms:
5i(-6 + i) = 0
(-6 * 5i + i * 5i) = 0
(-30i + 5i2) = 0

Solving
-30i + 5i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '5i'.
5i(-6 + i) = 0

Ignore the factor 5.
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 + 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

Simplifying
i = 6
Solution
i = {0, 6}