(-4+i)(8+5i)=

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Solution for (-4+i)(8+5i)= equation: 


Simplifying
(-4 + i)(8 + 5i) = 0

Multiply (-4 + i) * (8 + 5i)
(-4(8 + 5i) + i(8 + 5i)) = 0
((8 * -4 + 5i * -4) + i(8 + 5i)) = 0
((-32 + -20i) + i(8 + 5i)) = 0
(-32 + -20i + (8 * i + 5i * i)) = 0
(-32 + -20i + (8i + 5i2)) = 0

Combine like terms: -20i + 8i = -12i
(-32 + -12i + 5i2) = 0

Solving
-32 + -12i + 5i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(-8 + -5i)(4 + -1i) = 0


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

Simplifying
-8 + -5i = 0

Solving
-8 + -5i = 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 + -5i = 0 + 8

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

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

Divide each side by '-5'.
i = -1.6

Simplifying
i = -1.6

Subproblem 2
Set the factor '(4 + -1i)' equal to zero and attempt to solve:

Simplifying
4 + -1i = 0

Solving
4 + -1i = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1i = 0 + -4
-1i = 0 + -4

Combine like terms: 0 + -4 = -4
-1i = -4

Divide each side by '-1'.
i = 4

Simplifying
i = 4
Solution
i = {-1.6, 4}

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