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

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


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

Multiply (7 + 3i) * (3 + -8i)
(7(3 + -8i) + 3i * (3 + -8i)) = 0
((3 * 7 + -8i * 7) + 3i * (3 + -8i)) = 0
((21 + -56i) + 3i * (3 + -8i)) = 0
(21 + -56i + (3 * 3i + -8i * 3i)) = 0
(21 + -56i + (9i + -24i2)) = 0

Combine like terms: -56i + 9i = -47i
(21 + -47i + -24i2) = 0

Solving
21 + -47i + -24i2 = 0

Solving for variable 'i'.

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


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

Simplifying
3 + -8i = 0

Solving
3 + -8i = 0

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

Add '-3' to each side of the equation.
3 + -3 + -8i = 0 + -3

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

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

Divide each side by '-8'.
i = 0.375

Simplifying
i = 0.375

Subproblem 2
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
Solution
i = {0.375, -2.333333333}

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