1/3y=y*3

Simple and best practice solution for 1/3y=y*3 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 1/3y=y*3 equation:



1/3y=y*3
We move all terms to the left:
1/3y-(y*3)=0
Domain of the equation: 3y!=0
y!=0/3
y!=0
y∈R
We add all the numbers together, and all the variables
1/3y-(+y*3)=0
We get rid of parentheses
1/3y-y*3=0
We multiply all the terms by the denominator
-(y*3)*3y+1=0
We add all the numbers together, and all the variables
-(+y*3)*3y+1=0
We multiply parentheses
-9y^2+1=0
a = -9; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-9)·1
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6}{2*-9}=\frac{-6}{-18} =1/3 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6}{2*-9}=\frac{6}{-18} =-1/3 $

See similar equations:

| -3x+3=13 | | 4x+11=8x-8 | | 9/6=x/9.3 | | 6=-s=77 | | 6x^2-39x-18=0 | | 9x^2+12=48 | | 0,75t=1,4 | | k^2−7k+12.25=0 | | 5b-3=3(b+7)+3b | | 10/x=20/10 | | d*d+3=67 | | 0.6+0.75*t=2 | | 2y2=2πy | | 0.6+0.75t=2 | | 1/3a+14=26 | | -5x=-35x | | 3(x+3)-5(x-3)=2x+5(6-2x) | | 12(v+3)-4v=2(4v+4)-10 | | x/12=24/72 | | 10^x-1=1 | | 100^x+2=10 | | y+6y+10y=10 | | 210=3-x | | 4u=(4) | | 100x+2=10 | | 3(2t-)+2t=24-t | | 3-x=210 | | 9-x=300 | | 100/x+2-10=0 | | X^2+14x+48=160 | | 5x²+4=0 | | 19y/6-5y/2=4 |

Equations solver categories