1+1/5b=3/10b

Simple and best practice solution for 1+1/5b=3/10b equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 1+1/5b=3/10b equation:



1+1/5b=3/10b
We move all terms to the left:
1+1/5b-(3/10b)=0
Domain of the equation: 5b!=0
b!=0/5
b!=0
b∈R
Domain of the equation: 10b)!=0
b!=0/1
b!=0
b∈R
We add all the numbers together, and all the variables
1/5b-(+3/10b)+1=0
We get rid of parentheses
1/5b-3/10b+1=0
We calculate fractions
10b/50b^2+(-15b)/50b^2+1=0
We multiply all the terms by the denominator
10b+(-15b)+1*50b^2=0
Wy multiply elements
50b^2+10b+(-15b)=0
We get rid of parentheses
50b^2+10b-15b=0
We add all the numbers together, and all the variables
50b^2-5b=0
a = 50; b = -5; c = 0;
Δ = b2-4ac
Δ = -52-4·50·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-5}{2*50}=\frac{0}{100} =0 $
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+5}{2*50}=\frac{10}{100} =1/10 $

See similar equations:

| 4^x-9•2^x+8=0 | | 2(x+4)=36-2x | | 3(2m-4)=26 | | 1+1/5b=3/5b | | 3.x-1=20 | | -u+(-4u)+12u=-14 | | 9b-b+(-7b)=12 | | 4x^2+20x-384=0 | | (x+3)*(x+2)=24 | | 15k^2+k-80=0 | | 2x+2+3x-6=x+3 | | 20x-15x-2x-x+4x=6 | | x+1/3=1/3x+2/3 | | 3w+18=51 | | 7x-12=-8 | | M^3+3m=70 | | x=145.42+(x*0.4555) | | 8u-(-2u)=20 | | 2x+25+86=180 | | 14g-5g-9g+5g=20 | | 6x-5=2x-43 | | 8c-5c+3c-c-3c=10 | | x=140+(x*0.4555) | | 1/2x-2x=3-5x | | (63-x)=180 | | 2x-40=140 | | x+.2x=31 | | 20-3x=-4(x-4) | | 6r-r-2r+3r-3r=18 | | x-5x/4+3/4=3x/8-3x/2-7/8 | | x=100+(x*0.1) | | 11x+4x-4x-5x=18 |

Equations solver categories