(8-7i)(5-2i)=

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Solution for (8-7i)(5-2i)= equation: 


Simplifying
(8 + -7i)(5 + -2i) = 0

Multiply (8 + -7i) * (5 + -2i)
(8(5 + -2i) + -7i * (5 + -2i)) = 0
((5 * 8 + -2i * 8) + -7i * (5 + -2i)) = 0
((40 + -16i) + -7i * (5 + -2i)) = 0
(40 + -16i + (5 * -7i + -2i * -7i)) = 0
(40 + -16i + (-35i + 14i2)) = 0

Combine like terms: -16i + -35i = -51i
(40 + -51i + 14i2) = 0

Solving
40 + -51i + 14i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(8 + -7i)(5 + -2i) = 0


Subproblem 1
Set the factor '(8 + -7i)' equal to zero and attempt to solve:

Simplifying
8 + -7i = 0

Solving
8 + -7i = 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 + -7i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7i = 0 + -8
-7i = 0 + -8

Combine like terms: 0 + -8 = -8
-7i = -8

Divide each side by '-7'.
i = 1.142857143

Simplifying
i = 1.142857143

Subproblem 2
Set the factor '(5 + -2i)' equal to zero and attempt to solve:

Simplifying
5 + -2i = 0

Solving
5 + -2i = 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 + -2i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2i = 0 + -5
-2i = 0 + -5

Combine like terms: 0 + -5 = -5
-2i = -5

Divide each side by '-2'.
i = 2.5

Simplifying
i = 2.5
Solution
i = {1.142857143, 2.5}

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