3/5x+4x+5=0

Solution for 3/5x+4x+5=0 equation:

3/5x+4x+5=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We add all the numbers together, and all the variables

4x+3/5x+5=0

We multiply all the terms by the denominator


4x*5x+5*5x+3=0

Wy multiply elements

20x^2+25x+3=0

a = 20; b = 25; c = +3;
Δ = b2-4ac
Δ = 252-4·20·3
Δ = 385
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-\sqrt{385}}{2*20}=\frac{-25-\sqrt{385}}{40}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+\sqrt{385}}{2*20}=\frac{-25+\sqrt{385}}{40}
$