.9(.5*(y/100))=y

Solution for .9(.5*(y/100))=y equation:

.9(.5(y/100))=y

We move all terms to the left:

.9(.5(y/100))-(y)=0

We add all the numbers together, and all the variables

.9(.5(+y/100))-y=0

We add all the numbers together, and all the variables

-1y+.9(.5(+y/100))=0

We multiply all the terms by the denominator


-1y*100))+.9(.5(+y=0

We add all the numbers together, and all the variables

y-1y*100))+.9(.5(=0

Wy multiply elements

-100y^2+y=0

a = -100; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-100)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-100}=\frac{-2}{-200}
=1/100
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-100}=\frac{0}{-200}
=0
$