2X(3-5i)=0

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Solution for 2X(3-5i)=0 equation:



2X(3-5X)=0
We add all the numbers together, and all the variables
2X(-5X+3)=0
We multiply parentheses
-10X^2+6X=0
a = -10; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·(-10)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*-10}=\frac{-12}{-20} =3/5 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*-10}=\frac{0}{-20} =0 $

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