-3/4x-5+3/7x=-95/28

Solution for -3/4x-5+3/7x=-95/28 equation:

-3/4x-5+3/7x=-95/28

We move all terms to the left:

-3/4x-5+3/7x-(-95/28)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R



Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R


We get rid of parentheses

-3/4x+3/7x-5+95/28=0

We calculate fractions


18620x^2/1568x^2+(-1176x)/1568x^2+672x/1568x^2-5=0

We multiply all the terms by the denominator


18620x^2+(-1176x)+672x-5*1568x^2=0

We add all the numbers together, and all the variables

18620x^2+672x+(-1176x)-5*1568x^2=0

Wy multiply elements

18620x^2-7840x^2+672x+(-1176x)=0

We get rid of parentheses

18620x^2-7840x^2+672x-1176x=0

We add all the numbers together, and all the variables

10780x^2-504x=0

a = 10780; b = -504; c = 0;
Δ = b2-4ac
Δ = -5042-4·10780·0
Δ = 254016
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{254016}=504$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-504)-504}{2*10780}=\frac{0}{21560}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-504)+504}{2*10780}=\frac{1008}{21560}
=18/385
$