X=2y(y-8)

Solution for X=2y(y-8) equation:

X=2X(X-8)

We move all terms to the left:

X-(2X(X-8))=0


We calculate terms in parentheses: -(2X(X-8)), so:

2X(X-8)

We multiply parentheses

2X^2-16X

Back to the equation:

-(2X^2-16X)


We get rid of parentheses

-2X^2+X+16X=0

We add all the numbers together, and all the variables

-2X^2+17X=0

a = -2; b = 17; c = 0;
Δ = b2-4ac
Δ = 172-4·(-2)·0
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-17}{2*-2}=\frac{-34}{-4}
=8+1/2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+17}{2*-2}=\frac{0}{-4}
=0
$