(6-36i)(6-i)=

Solution for (6-36i)(6-i)= equation:

Simplifying
(6 + -36i)(6 + -1i) = 0

Multiply (6 + -36i) * (6 + -1i)
(6(6 + -1i) + -36i * (6 + -1i)) = 0
((6 * 6 + -1i * 6) + -36i * (6 + -1i)) = 0
((36 + -6i) + -36i * (6 + -1i)) = 0
(36 + -6i + (6 * -36i + -1i * -36i)) = 0
(36 + -6i + (-216i + 36i2)) = 0

Combine like terms: -6i + -216i = -222i
(36 + -222i + 36i2) = 0

Solving
36 + -222i + 36i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '6'.
6(6 + -37i + 6i2) = 0

Factor a trinomial.
6((1 + -6i)(6 + -1i)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(1 + -6i)' equal to zero and attempt to solve:

Simplifying
1 + -6i = 0

Solving
1 + -6i = 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 + -6i = 0 + -1

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

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

Divide each side by '-6'.
i = 0.1666666667

Simplifying
i = 0.1666666667
Subproblem 2
Set the factor '(6 + -1i)' equal to zero and attempt to solve:

Simplifying
6 + -1i = 0

Solving
6 + -1i = 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 + -1i = 0 + -6

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

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

Divide each side by '-1'.
i = 6

Simplifying
i = 6
Solution
i = {0.1666666667, 6}