-3/5-7/10x+1/2x=-56

Solution for -3/5-7/10x+1/2x=-56 equation:

-3/5-7/10x+1/2x=-56

We move all terms to the left:

-3/5-7/10x+1/2x-(-56)=0


Domain of the equation: 10x!=0

x!=0/10

x!=0

x∈R



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

-7/10x+1/2x+56-3/5=0

We calculate fractions


(-120x^2)/500x^2+(-350x)/500x^2+250x/500x^2+56=0

We multiply all the terms by the denominator


(-120x^2)+(-350x)+250x+56*500x^2=0

We add all the numbers together, and all the variables

(-120x^2)+250x+(-350x)+56*500x^2=0

Wy multiply elements

(-120x^2)+28000x^2+250x+(-350x)=0

We get rid of parentheses

-120x^2+28000x^2+250x-350x=0

We add all the numbers together, and all the variables

27880x^2-100x=0

a = 27880; b = -100; c = 0;
Δ = b2-4ac
Δ = -1002-4·27880·0
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-100}{2*27880}=\frac{0}{55760}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+100}{2*27880}=\frac{200}{55760}
=5/1394
$