(8-3i)(1+i)=

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Solution for (8-3i)(1+i)= equation: 


Simplifying
(8 + -3i)(1 + i) = 0

Multiply (8 + -3i) * (1 + i)
(8(1 + i) + -3i * (1 + i)) = 0
((1 * 8 + i * 8) + -3i * (1 + i)) = 0
((8 + 8i) + -3i * (1 + i)) = 0
(8 + 8i + (1 * -3i + i * -3i)) = 0
(8 + 8i + (-3i + -3i2)) = 0

Combine like terms: 8i + -3i = 5i
(8 + 5i + -3i2) = 0

Solving
8 + 5i + -3i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(8 + -3i)(1 + i) = 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 '(1 + i)' equal to zero and attempt to solve:

Simplifying
1 + i = 0

Solving
1 + i = 0

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

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

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

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

Simplifying
i = -1
Solution
i = {2.666666667, -1}

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