-7/20x+2/5=1/4x

Solution for -7/20x+2/5=1/4x equation:

-7/20x+2/5=1/4x

We move all terms to the left:

-7/20x+2/5-(1/4x)=0


Domain of the equation: 20x!=0

x!=0/20

x!=0

x∈R



Domain of the equation: 4x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-7/20x-(+1/4x)+2/5=0

We get rid of parentheses

-7/20x-1/4x+2/5=0

We calculate fractions


640x^2/2000x^2+(-700x)/2000x^2+(-500x)/2000x^2=0

We multiply all the terms by the denominator


640x^2+(-700x)+(-500x)=0

We get rid of parentheses

640x^2-700x-500x=0

We add all the numbers together, and all the variables

640x^2-1200x=0

a = 640; b = -1200; c = 0;
Δ = b2-4ac
Δ = -12002-4·640·0
Δ = 1440000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1440000}=1200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1200)-1200}{2*640}=\frac{0}{1280}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1200)+1200}{2*640}=\frac{2400}{1280}
=1+7/8
$