2/3b+7=6b

Simple and best practice solution for 2/3b+7=6b 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 2/3b+7=6b equation:



2/3b+7=6b
We move all terms to the left:
2/3b+7-(6b)=0
Domain of the equation: 3b!=0
b!=0/3
b!=0
b∈R
We add all the numbers together, and all the variables
-6b+2/3b+7=0
We multiply all the terms by the denominator
-6b*3b+7*3b+2=0
Wy multiply elements
-18b^2+21b+2=0
a = -18; b = 21; c = +2;
Δ = b2-4ac
Δ = 212-4·(-18)·2
Δ = 585
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{585}=\sqrt{9*65}=\sqrt{9}*\sqrt{65}=3\sqrt{65}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-3\sqrt{65}}{2*-18}=\frac{-21-3\sqrt{65}}{-36} $
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+3\sqrt{65}}{2*-18}=\frac{-21+3\sqrt{65}}{-36} $

See similar equations:

| 14+4x=-10 | | 6b=7+2/3b | | 2a=a=9 | | 5(+-2)=2(x-7) | | 5+35w=15 | | x+-31=65 | | -31+x=65 | | m-8/5=8 | | x/6-9=11 | | 6/7y+8/21=-2y | | 6/7y+8/21=-2 | | 2x+3(3x+4)=89 | | -2(x-3)+7=3(9-5x)-9 | | 5t+7/2=3/2t-14 | | 25^-6x=5^5x+7 | | 5(x+9)=5x+45. | | 5x+2=-20 | | 3(1+p=-5(p+1) | | 9.7x=11.24 | | 61=5x-5 | | 23=5+3v | | 2(x-3)+7=3(9-5x)-9 | | 3r+6=13 | | 5w-8=-2w | | 1/4(f+34)=40/4 | | 2/3(x-5/4)=1/2 | | 21x+-56=21 | | h2+7=10 | | 1/3(x-5)=7 | | 2(4-3x)=20 | | 36=3x-x/2 | | 2m+14=18 |

Equations solver categories