(2-3i)(5-8i)=

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Solution for (2-3i)(5-8i)= equation: 


Simplifying
(2 + -3i)(5 + -8i) = 0

Multiply (2 + -3i) * (5 + -8i)
(2(5 + -8i) + -3i * (5 + -8i)) = 0
((5 * 2 + -8i * 2) + -3i * (5 + -8i)) = 0
((10 + -16i) + -3i * (5 + -8i)) = 0
(10 + -16i + (5 * -3i + -8i * -3i)) = 0
(10 + -16i + (-15i + 24i2)) = 0

Combine like terms: -16i + -15i = -31i
(10 + -31i + 24i2) = 0

Solving
10 + -31i + 24i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(5 + -8i)(2 + -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 '(2 + -3i)' equal to zero and attempt to solve:

Simplifying
2 + -3i = 0

Solving
2 + -3i = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3i = 0 + -2
-3i = 0 + -2

Combine like terms: 0 + -2 = -2
-3i = -2

Divide each side by '-3'.
i = 0.6666666667

Simplifying
i = 0.6666666667
Solution
i = {0.625, 0.6666666667}

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