x+1=1/3x-7

Simple and best practice solution for x+1=1/3x-7 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 x+1=1/3x-7 equation:



x+1=1/3x-7
We move all terms to the left:
x+1-(1/3x-7)=0
Domain of the equation: 3x-7)!=0
x∈R
We get rid of parentheses
x-1/3x+7+1=0
We multiply all the terms by the denominator
x*3x+7*3x+1*3x-1=0
Wy multiply elements
3x^2+21x+3x-1=0
We add all the numbers together, and all the variables
3x^2+24x-1=0
a = 3; b = 24; c = -1;
Δ = b2-4ac
Δ = 242-4·3·(-1)
Δ = 588
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{588}=\sqrt{196*3}=\sqrt{196}*\sqrt{3}=14\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-14\sqrt{3}}{2*3}=\frac{-24-14\sqrt{3}}{6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+14\sqrt{3}}{2*3}=\frac{-24+14\sqrt{3}}{6} $

See similar equations:

| 3(x-1)+2x=5(x-3) | | a5=14 | | 1/2(10a-12)=3a+22 | | 1/7(3(x-1)+35)=x | | 11x+5=9x-1 | | 3.8+10m=7.74 | | 7x-9=3x+2+4x | | 18+9c=8(3c+4) | | 5x-5/2=4x | | 15w-20=-9-6w | | (a/3)-2=5 | | 54(4=r)=1/2(40=10r) | | a=3/5=-2/5 | | 10/3=5/v | | 4n-4=3n+9 | | 14x+1=8x+13= | | -5x+8=7x-16 | | 8x-7-6x=11 | | 40+55x=42 | | 3x+x+10=52-3x | | 3x+2=3(x-6) | | 50p-26=51p-51p | | 3(2b-1)-7=6b+2 | | X=7+-2t | | -12=r+6 | | 2(9+x=22 | | 8+2x-5=10 | | 28y-20=4(7y-5) | | 8x-3=-19+6× | | 4(2x-3)=5(x+3)0 | | 15+3x=20+2x | | x+3=2x-6+5 |

Equations solver categories