(400/x)+15-0.11x=0

Solution for (400/x)+15-0.11x=0 equation:

(400/x)+15-0.11x=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+400/x)-0.11x+15=0

We add all the numbers together, and all the variables

-0.11x+(+400/x)+15=0

We get rid of parentheses

-0.11x+400/x+15=0

We multiply all the terms by the denominator


-(0.11x)*x+15*x+400=0

We add all the numbers together, and all the variables

-(+0.11x)*x+15*x+400=0

We add all the numbers together, and all the variables

15x-(+0.11x)*x+400=0

We multiply parentheses

-0x^2+15x+400=0

We add all the numbers together, and all the variables

-1x^2+15x+400=0

a = -1; b = 15; c = +400;
Δ = b2-4ac
Δ = 152-4·(-1)·400
Δ = 1825
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1825}=\sqrt{25*73}=\sqrt{25}*\sqrt{73}=5\sqrt{73}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-5\sqrt{73}}{2*-1}=\frac{-15-5\sqrt{73}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+5\sqrt{73}}{2*-1}=\frac{-15+5\sqrt{73}}{-2}
$