(9+2i)(8-5i)=

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Solution for (9+2i)(8-5i)= equation: 


Simplifying
(9 + 2i)(8 + -5i) = 0

Multiply (9 + 2i) * (8 + -5i)
(9(8 + -5i) + 2i * (8 + -5i)) = 0
((8 * 9 + -5i * 9) + 2i * (8 + -5i)) = 0
((72 + -45i) + 2i * (8 + -5i)) = 0
(72 + -45i + (8 * 2i + -5i * 2i)) = 0
(72 + -45i + (16i + -10i2)) = 0

Combine like terms: -45i + 16i = -29i
(72 + -29i + -10i2) = 0

Solving
72 + -29i + -10i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(8 + -5i)(9 + 2i) = 0


Subproblem 1
Set the factor '(8 + -5i)' equal to zero and attempt to solve:

Simplifying
8 + -5i = 0

Solving
8 + -5i = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5i = 0 + -8
-5i = 0 + -8

Combine like terms: 0 + -8 = -8
-5i = -8

Divide each side by '-5'.
i = 1.6

Simplifying
i = 1.6

Subproblem 2
Set the factor '(9 + 2i)' equal to zero and attempt to solve:

Simplifying
9 + 2i = 0

Solving
9 + 2i = 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 + 2i = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2i = 0 + -9
2i = 0 + -9

Combine like terms: 0 + -9 = -9
2i = -9

Divide each side by '2'.
i = -4.5

Simplifying
i = -4.5
Solution
i = {1.6, -4.5}

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