21+11/10x=-131-4/5x

Solution for 21+11/10x=-131-4/5x equation:

21+11/10x=-131-4/5x

We move all terms to the left:

21+11/10x-(-131-4/5x)=0


Domain of the equation: 10x!=0

x!=0/10

x!=0

x∈R



Domain of the equation: 5x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

11/10x-(-4/5x-131)+21=0

We get rid of parentheses

11/10x+4/5x+131+21=0

We calculate fractions


55x/50x^2+40x/50x^2+131+21=0

We add all the numbers together, and all the variables

55x/50x^2+40x/50x^2+152=0

We multiply all the terms by the denominator


55x+40x+152*50x^2=0

We add all the numbers together, and all the variables

95x+152*50x^2=0

Wy multiply elements

7600x^2+95x=0

a = 7600; b = 95; c = 0;
Δ = b2-4ac
Δ = 952-4·7600·0
Δ = 9025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9025}=95$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(95)-95}{2*7600}=\frac{-190}{15200}
=-1/80
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(95)+95}{2*7600}=\frac{0}{15200}
=0
$