13+16/8x+7.50x=0

Solution for 13+16/8x+7.50x=0 equation:

13+16/8x+7.50x=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R


We add all the numbers together, and all the variables

7.50x+16/8x+13=0

We multiply all the terms by the denominator


(7.50x)*8x+13*8x+16=0

We add all the numbers together, and all the variables

(+7.50x)*8x+13*8x+16=0

We multiply parentheses

56x^2+13*8x+16=0

Wy multiply elements

56x^2+104x+16=0

a = 56; b = 104; c = +16;
Δ = b2-4ac
Δ = 1042-4·56·16
Δ = 7232
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:

$\sqrt{\Delta}=\sqrt{7232}=\sqrt{64*113}=\sqrt{64}*\sqrt{113}=8\sqrt{113}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(104)-8\sqrt{113}}{2*56}=\frac{-104-8\sqrt{113}}{112}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(104)+8\sqrt{113}}{2*56}=\frac{-104+8\sqrt{113}}{112}
$