2/5y+9=2y

Solution for 2/5y+9=2y equation:

2/5y+9=2y

We move all terms to the left:

2/5y+9-(2y)=0


Domain of the equation: 5y!=0

y!=0/5

y!=0

y∈R


We add all the numbers together, and all the variables

-2y+2/5y+9=0

We multiply all the terms by the denominator


-2y*5y+9*5y+2=0

Wy multiply elements

-10y^2+45y+2=0

a = -10; b = 45; c = +2;
Δ = b2-4ac
Δ = 452-4·(-10)·2
Δ = 2105
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{-(45)-\sqrt{2105}}{2*-10}=\frac{-45-\sqrt{2105}}{-20}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(45)+\sqrt{2105}}{2*-10}=\frac{-45+\sqrt{2105}}{-20}
$