(8+9i)(7-3i)=

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Solution for (8+9i)(7-3i)= equation: 


Simplifying
(8 + 9i)(7 + -3i) = 0

Multiply (8 + 9i) * (7 + -3i)
(8(7 + -3i) + 9i * (7 + -3i)) = 0
((7 * 8 + -3i * 8) + 9i * (7 + -3i)) = 0
((56 + -24i) + 9i * (7 + -3i)) = 0
(56 + -24i + (7 * 9i + -3i * 9i)) = 0
(56 + -24i + (63i + -27i2)) = 0

Combine like terms: -24i + 63i = 39i
(56 + 39i + -27i2) = 0

Solving
56 + 39i + -27i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(7 + -3i)(8 + 9i) = 0


Subproblem 1
Set the factor '(7 + -3i)' equal to zero and attempt to solve:

Simplifying
7 + -3i = 0

Solving
7 + -3i = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3i = 0 + -7
-3i = 0 + -7

Combine like terms: 0 + -7 = -7
-3i = -7

Divide each side by '-3'.
i = 2.333333333

Simplifying
i = 2.333333333

Subproblem 2
Set the factor '(8 + 9i)' equal to zero and attempt to solve:

Simplifying
8 + 9i = 0

Solving
8 + 9i = 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 + 9i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 9i = 0 + -8
9i = 0 + -8

Combine like terms: 0 + -8 = -8
9i = -8

Divide each side by '9'.
i = -0.8888888889

Simplifying
i = -0.8888888889
Solution
i = {2.333333333, -0.8888888889}

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