8-7/10x=6-1/5x.

Solution for 8-7/10x=6-1/5x. equation:

8-7/10x=6-1/5x.

We move all terms to the left:

8-7/10x-(6-1/5x.)=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

-7/10x-(-1/5x.+6)+8=0

We get rid of parentheses

-7/10x+1/5x.-6+8=0

We calculate fractions


(-35x)/50x^2+10x/50x^2-6+8=0

We add all the numbers together, and all the variables

(-35x)/50x^2+10x/50x^2+2=0

We multiply all the terms by the denominator


(-35x)+10x+2*50x^2=0

We add all the numbers together, and all the variables

10x+(-35x)+2*50x^2=0

Wy multiply elements

100x^2+10x+(-35x)=0

We get rid of parentheses

100x^2+10x-35x=0

We add all the numbers together, and all the variables

100x^2-25x=0

a = 100; b = -25; c = 0;
Δ = b2-4ac
Δ = -252-4·100·0
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-25}{2*100}=\frac{0}{200}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+25}{2*100}=\frac{50}{200}
=1/4
$