5y-51.25=-3+3/4y

Simple and best practice solution for 5y-51.25=-3+3/4y 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 5y-51.25=-3+3/4y equation:



5y-51.25=-3+3/4y
We move all terms to the left:
5y-51.25-(-3+3/4y)=0
Domain of the equation: 4y)!=0
y!=0/1
y!=0
y∈R
We add all the numbers together, and all the variables
5y-(3/4y-3)-51.25=0
We get rid of parentheses
5y-3/4y+3-51.25=0
We multiply all the terms by the denominator
5y*4y+3*4y-(51.25)*4y-3=0
We multiply parentheses
5y*4y+3*4y-205y-3=0
Wy multiply elements
20y^2+12y-205y-3=0
We add all the numbers together, and all the variables
20y^2-193y-3=0
a = 20; b = -193; c = -3;
Δ = b2-4ac
Δ = -1932-4·20·(-3)
Δ = 37489
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-193)-\sqrt{37489}}{2*20}=\frac{193-\sqrt{37489}}{40} $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-193)+\sqrt{37489}}{2*20}=\frac{193+\sqrt{37489}}{40} $

See similar equations:

| 3x-4+6x=0 | | 4^x−2^x−12=0 | | 5m+3=6 | | 2x+6=24+5x-3 | | 7=4+x/18.75 | | 5x-4-4x=2x-3+3x | | 3(p-67)=45 | | f/2-4=6 | | 5=p/5-1 | | 5=h-74/5 | | b-26/5=10 | | 54=h/6+45 | | 48=8p-8 | | -6s+-29=49 | | 5c÷8+7c÷12=15÷48+c | | 6(j+5)=66 | | (x-3)*(4-3x)=3x(2-x)+5 | | 5y-51,25=-13+3/4y | | 0.05p−0.01p=2+0.24 | | 3=y+86/7 | | 4(p+3)=44 | | 23/4(8/4)=x | | 2x+10=6+2x | | x=8(x+45)/11 | | 9a–7=38 | | 3-1.5y=2y+5 | | 3-3/2y=2y+5 | | 4y+2=64 | | -9.b=45 | | 3+x=27+x/11 | | 32x^2+48x+15=0 | | ,4x+18=10x |

Equations solver categories