10*10=y*15y

Solution for 10*10=y*15y equation:

10*10=y*15y

We move all terms to the left:

10*10-(y*15y)=0

We add all the numbers together, and all the variables

-(+y*15y)+10*10=0

We add all the numbers together, and all the variables

-(+y*15y)+100=0

We get rid of parentheses

-y*15y+100=0

Wy multiply elements

-15y^2+100=0

a = -15; b = 0; c = +100;
Δ = b2-4ac
Δ = 02-4·(-15)·100
Δ = 6000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{6000}=\sqrt{400*15}=\sqrt{400}*\sqrt{15}=20\sqrt{15}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{15}}{2*-15}=\frac{0-20\sqrt{15}}{-30}
=-\frac{20\sqrt{15}}{-30}
=-\frac{2\sqrt{15}}{-3}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{15}}{2*-15}=\frac{0+20\sqrt{15}}{-30}
=\frac{20\sqrt{15}}{-30}
=\frac{2\sqrt{15}}{-3}
$