(i-9)(i-6)=

Solution for (i-9)(i-6)= equation:

Simplifying
(i + -9)(i + -6) = 0

Reorder the terms:
(-9 + i)(i + -6) = 0

Reorder the terms:
(-9 + i)(-6 + i) = 0

Multiply (-9 + i) * (-6 + i)
(-9(-6 + i) + i(-6 + i)) = 0
((-6 * -9 + i * -9) + i(-6 + i)) = 0
((54 + -9i) + i(-6 + i)) = 0
(54 + -9i + (-6 * i + i * i)) = 0
(54 + -9i + (-6i + i2)) = 0

Combine like terms: -9i + -6i = -15i
(54 + -15i + i2) = 0

Solving
54 + -15i + i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(6 + -1i)(9 + -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 '(9 + -1i)' equal to zero and attempt to solve:

Simplifying
9 + -1i = 0

Solving
9 + -1i = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1i = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1i = 0 + -9
-1i = 0 + -9

Combine like terms: 0 + -9 = -9
-1i = -9

Divide each side by '-1'.
i = 9

Simplifying
i = 9
Solution
i = {6, 9}