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

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


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

Multiply (-5 + -8i) * (-7 + -5i)
(-5(-7 + -5i) + -8i * (-7 + -5i)) = 0
((-7 * -5 + -5i * -5) + -8i * (-7 + -5i)) = 0
((35 + 25i) + -8i * (-7 + -5i)) = 0
(35 + 25i + (-7 * -8i + -5i * -8i)) = 0
(35 + 25i + (56i + 40i2)) = 0

Combine like terms: 25i + 56i = 81i
(35 + 81i + 40i2) = 0

Solving
35 + 81i + 40i2 = 0

Solving for variable 'i'.

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


Subproblem 1
Set the factor '(7 + 5i)' equal to zero and attempt to solve:

Simplifying
7 + 5i = 0

Solving
7 + 5i = 0

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

Add '-7' to each side of the equation.
7 + -7 + 5i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5i = 0 + -7
5i = 0 + -7

Combine like terms: 0 + -7 = -7
5i = -7

Divide each side by '5'.
i = -1.4

Simplifying
i = -1.4

Subproblem 2
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
Solution
i = {-1.4, -0.625}

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