Y=a(a-2)(a-a)

Solution for Y=a(a-2)(a-a) equation:

=Y(Y-2)(Y-Y)

We move all terms to the left:

-(Y(Y-2)(Y-Y))=0

We add all the numbers together, and all the variables

-(Y(Y-2)0)=0


We calculate terms in parentheses: -(Y(Y-2)0), so:

Y(Y-2)0

We multiply parentheses

Y^2-2Y

Back to the equation:

-(Y^2-2Y)


We get rid of parentheses

-Y^2+2Y=0

We add all the numbers together, and all the variables

-1Y^2+2Y=0

a = -1; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-1)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*-1}=\frac{-4}{-2}
=+2
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-1}=\frac{0}{-2}
=0
$