-4/5x-1-1/10=3/20x

Solution for -4/5x-1-1/10=3/20x equation:

-4/5x-1-1/10=3/20x

We move all terms to the left:

-4/5x-1-1/10-(3/20x)=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R



Domain of the equation: 20x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-4/5x-(+3/20x)-1-1/10=0

We get rid of parentheses

-4/5x-3/20x-1-1/10=0

We calculate fractions


(-200x^2)/1000x^2+(-800x)/1000x^2+(-150x)/1000x^2-1=0

We multiply all the terms by the denominator


(-200x^2)+(-800x)+(-150x)-1*1000x^2=0

Wy multiply elements

(-200x^2)-1000x^2+(-800x)+(-150x)=0

We get rid of parentheses

-200x^2-1000x^2-800x-150x=0

We add all the numbers together, and all the variables

-1200x^2-950x=0

a = -1200; b = -950; c = 0;
Δ = b2-4ac
Δ = -9502-4·(-1200)·0
Δ = 902500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{902500}=950$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-950)-950}{2*-1200}=\frac{0}{-2400}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-950)+950}{2*-1200}=\frac{1900}{-2400}
=-19/24
$