(6-i)(6-i)=0

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

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

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

Combine like terms: -6i + -6i = -12i
(36 + -12i + 1i2) = 0

Solving
36 + -12i + 1i2 = 0

Solving for variable 'i'.

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

Subproblem 1
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
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 = {6, 6}