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

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


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

Multiply (9 + 7i) * (8 + -3i)
(9(8 + -3i) + 7i * (8 + -3i)) = 0
((8 * 9 + -3i * 9) + 7i * (8 + -3i)) = 0
((72 + -27i) + 7i * (8 + -3i)) = 0
(72 + -27i + (8 * 7i + -3i * 7i)) = 0
(72 + -27i + (56i + -21i2)) = 0

Combine like terms: -27i + 56i = 29i
(72 + 29i + -21i2) = 0

Solving
72 + 29i + -21i2 = 0

Solving for variable 'i'.

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


Subproblem 1
Set the factor '(8 + -3i)' equal to zero and attempt to solve:

Simplifying
8 + -3i = 0

Solving
8 + -3i = 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 + -3i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3i = 0 + -8
-3i = 0 + -8

Combine like terms: 0 + -8 = -8
-3i = -8

Divide each side by '-3'.
i = 2.666666667

Simplifying
i = 2.666666667

Subproblem 2
Set the factor '(9 + 7i)' equal to zero and attempt to solve:

Simplifying
9 + 7i = 0

Solving
9 + 7i = 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 + 7i = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 7i = 0 + -9
7i = 0 + -9

Combine like terms: 0 + -9 = -9
7i = -9

Divide each side by '7'.
i = -1.285714286

Simplifying
i = -1.285714286
Solution
i = {2.666666667, -1.285714286}

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