20y-12/4y=4

Simple and best practice solution for 20y-12/4y=4 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 20y-12/4y=4 equation:



20y-12/4y=4
We move all terms to the left:
20y-12/4y-(4)=0
Domain of the equation: 4y!=0
y!=0/4
y!=0
y∈R
We multiply all the terms by the denominator
20y*4y-4*4y-12=0
Wy multiply elements
80y^2-16y-12=0
a = 80; b = -16; c = -12;
Δ = b2-4ac
Δ = -162-4·80·(-12)
Δ = 4096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4096}=64$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-64}{2*80}=\frac{-48}{160} =-3/10 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+64}{2*80}=\frac{80}{160} =1/2 $

See similar equations:

| f(1)=1^2-2*1 | | X^-10x+3=0 | | 4x-9=-5x+12 | | a/5=6.5 | | 17+z=6+7z | | 2(d−12)=16 | | 1/3y+4=8 | | p+5=2 | | -7+q=2 | | x+(1/2)x=18500 | | 8x3=7 | | p*p/8=2.2 | | 9x+1=4x-3 | | 7=14-x | | -35=s/7-41 | | q−995=-469 | | x/9+33=35 | | 6=12-x | | -7x+11=19–x | | p*5p=4.5 | | 3x-33=123 | | w/4−1=2 | | 4x-3x=2x-7 | | 18–12y=-22–7y | | 18+4x=12-3x | | 2x+17=65−4x | | 9-7x+3x=25 | | 2(s+3)=+4s+s+5 | | 1.6=1.007^4x | | 2(s+3)=+s+4s+5 | | h()=62 | | -5w^2=125 |

Equations solver categories