x/16.4x+216,2x+2=0

Solution for x/16.4x+216,2x+2=0 equation:

x/16.4x+216.2x+2=0


Domain of the equation: 16.4x!=0

x!=0/16.4

x!=0

x∈R


We add all the numbers together, and all the variables

216.2x+x/16.4x+2=0

We multiply all the terms by the denominator


(216.2x)*16.4x+x+2*16.4x=0

We add all the numbers together, and all the variables

(+216.2x)*16.4x+x+2*16.4x=0

We add all the numbers together, and all the variables

x+(+216.2x)*16.4x+2*16.4x=0

We multiply parentheses

3456x^2+x+2*16.4x=0

Wy multiply elements

3456x^2+x+32x=0

We add all the numbers together, and all the variables

3456x^2+33x=0

a = 3456; b = 33; c = 0;
Δ = b2-4ac
Δ = 332-4·3456·0
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(33)-33}{2*3456}=\frac{-66}{6912}
=-11/1152
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+33}{2*3456}=\frac{0}{6912}
=0
$