88y/23y=2y

Solution for 88y/23y=2y equation:

88y/23y=2y

We move all terms to the left:

88y/23y-(2y)=0


Domain of the equation: 23y!=0

y!=0/23

y!=0

y∈R


We add all the numbers together, and all the variables

-2y+88y/23y=0

We multiply all the terms by the denominator


-2y*23y+88y=0

We add all the numbers together, and all the variables

88y-2y*23y=0

Wy multiply elements

-46y^2+88y=0

a = -46; b = 88; c = 0;
Δ = b2-4ac
Δ = 882-4·(-46)·0
Δ = 7744
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7744}=88$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(88)-88}{2*-46}=\frac{-176}{-92}
=1+21/23
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(88)+88}{2*-46}=\frac{0}{-92}
=0
$