Y=6x^2-48x

Solution for Y=6x^2-48x equation:

=6Y^2-48Y

We move all terms to the left:

-(6Y^2-48Y)=0

We get rid of parentheses

-6Y^2+48Y=0

a = -6; b = 48; c = 0;
Δ = b2-4ac
Δ = 482-4·(-6)·0
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(48)-48}{2*-6}=\frac{-96}{-12}
=+8
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(48)+48}{2*-6}=\frac{0}{-12}
=0
$