(5-8i)(1-11i)=0

Solution for (5-8i)(1-11i)=0 equation:

(5-8i)(1-11i)=0

We add all the numbers together, and all the variables

(-8i+5)(-11i+1)=0

We multiply parentheses ..

(+88i^2-8i-55i+5)=0

We get rid of parentheses

88i^2-8i-55i+5=0

We add all the numbers together, and all the variables

88i^2-63i+5=0

a = 88; b = -63; c = +5;
Δ = b2-4ac
Δ = -632-4·88·5
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$i_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$i_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-63)-47}{2*88}=\frac{16}{176}
=1/11
$
$i_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-63)+47}{2*88}=\frac{110}{176}
=5/8
$