Y=-12x(x-9)

Solution for Y=-12x(x-9) equation:

=-12Y(Y-9)

We move all terms to the left:

-(-12Y(Y-9))=0


We calculate terms in parentheses: -(-12Y(Y-9)), so:

-12Y(Y-9)

We multiply parentheses

-12Y^2+108Y

Back to the equation:

-(-12Y^2+108Y)


We get rid of parentheses

12Y^2-108Y=0

a = 12; b = -108; c = 0;
Δ = b2-4ac
Δ = -1082-4·12·0
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-108)-108}{2*12}=\frac{0}{24}
=0
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-108)+108}{2*12}=\frac{216}{24}
=9
$