X+15/10=1x/2x

Solution for X+15/10=1x/2x equation:

X+15/10=1X/2X

We move all terms to the left:

X+15/10-(1X/2X)=0


Domain of the equation: 2X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(+1X/2X)+15/10=0

We get rid of parentheses

X-1X/2X+15/10=0

We calculate fractions


X+(-10X)/20X+30X/20X=0

We multiply all the terms by the denominator


X*20X+(-10X)+30X=0

We add all the numbers together, and all the variables

30X+X*20X+(-10X)=0

Wy multiply elements

20X^2+30X+(-10X)=0

We get rid of parentheses

20X^2+30X-10X=0

We add all the numbers together, and all the variables

20X^2+20X=0

a = 20; b = 20; c = 0;
Δ = b2-4ac
Δ = 202-4·20·0
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-20}{2*20}=\frac{-40}{40}
=-1
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+20}{2*20}=\frac{0}{40}
=0
$