-3/8x-7/40+1/5x=-56

Solution for -3/8x-7/40+1/5x=-56 equation:

-3/8x-7/40+1/5x=-56

We move all terms to the left:

-3/8x-7/40+1/5x-(-56)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R



Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We add all the numbers together, and all the variables

-3/8x+1/5x+56-7/40=0

We calculate fractions


(-1400x^2)/6400x^2+(-2400x)/6400x^2+1280x/6400x^2+56=0

We multiply all the terms by the denominator


(-1400x^2)+(-2400x)+1280x+56*6400x^2=0

We add all the numbers together, and all the variables

(-1400x^2)+1280x+(-2400x)+56*6400x^2=0

Wy multiply elements

(-1400x^2)+358400x^2+1280x+(-2400x)=0

We get rid of parentheses

-1400x^2+358400x^2+1280x-2400x=0

We add all the numbers together, and all the variables

357000x^2-1120x=0

a = 357000; b = -1120; c = 0;
Δ = b2-4ac
Δ = -11202-4·357000·0
Δ = 1254400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1254400}=1120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1120)-1120}{2*357000}=\frac{0}{714000}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1120)+1120}{2*357000}=\frac{2240}{714000}
=4/1275
$