(2/3)y-(2/3)=6

Simple and best practice solution for (2/3)y-(2/3)=6 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 (2/3)y-(2/3)=6 equation:



(2/3)y-(2/3)=6
We move all terms to the left:
(2/3)y-(2/3)-(6)=0
Domain of the equation: 3)y!=0
y!=0/1
y!=0
y∈R
determiningTheFunctionDomain (2/3)y-6-(2/3)=0
We add all the numbers together, and all the variables
(+2/3)y-6-(+2/3)=0
We multiply parentheses
2y^2-6-(+2/3)=0
We get rid of parentheses
2y^2-6-2/3=0
We multiply all the terms by the denominator
2y^2*3-2-6*3=0
We add all the numbers together, and all the variables
2y^2*3-20=0
Wy multiply elements
6y^2-20=0
a = 6; b = 0; c = -20;
Δ = b2-4ac
Δ = 02-4·6·(-20)
Δ = 480
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{480}=\sqrt{16*30}=\sqrt{16}*\sqrt{30}=4\sqrt{30}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{30}}{2*6}=\frac{0-4\sqrt{30}}{12} =-\frac{4\sqrt{30}}{12} =-\frac{\sqrt{30}}{3} $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{30}}{2*6}=\frac{0+4\sqrt{30}}{12} =\frac{4\sqrt{30}}{12} =\frac{\sqrt{30}}{3} $

See similar equations:

| -9x-4=6x=8 | | 9x-30=42x=8 | | 19(5b-1)=74 | | -29-5x=-8(1-2x) | | 5x+3-4=8x-4 | | -10-12x=22-10x | | 3x=9=9x+3 | | 4.3g-9=4(g+1) | | 6x-5=1x+14.25 | | 2h-4=-5h | | 2x+8-5x-2=2(x-6) | | 5x-6+4x=6(x-10) | | 5x-3/2=33/3 | | 7(1-2x)-3=4-2x | | 5x-11+4x+1=90 | | 8(x-6)x=-1 | | -176=4-9x | | x+11=–14 | | -v/9=-29 | | 72+13=x | | -6w+22=-4(w-1) | | 6+4n=29 | | 2(x-3+4=1/2(4x-10 | | 12-3y=99 | | ⅔(9x+6)=6x+4 | | 1x+3-3x=3 | | 2/3(x-5)=-3/4(x-6) | | (5x-6)+2=3x | | 144=-16x+72 | | 3(d219)=2(292d) | | 7b+1=5-4b | | 2(y+3)=8y-24 |

Equations solver categories