(-8+3i)(-5+8i)=

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Solution for (-8+3i)(-5+8i)= equation: 


Simplifying
(-8 + 3i)(-5 + 8i) = 0

Multiply (-8 + 3i) * (-5 + 8i)
(-8(-5 + 8i) + 3i * (-5 + 8i)) = 0
((-5 * -8 + 8i * -8) + 3i * (-5 + 8i)) = 0
((40 + -64i) + 3i * (-5 + 8i)) = 0
(40 + -64i + (-5 * 3i + 8i * 3i)) = 0
(40 + -64i + (-15i + 24i2)) = 0

Combine like terms: -64i + -15i = -79i
(40 + -79i + 24i2) = 0

Solving
40 + -79i + 24i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(5 + -8i)(8 + -3i) = 0


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

Simplifying
5 + -8i = 0

Solving
5 + -8i = 0

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

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

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

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

Divide each side by '-8'.
i = 0.625

Simplifying
i = 0.625

Subproblem 2
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
Solution
i = {0.625, 2.666666667}

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