X=-16x(x-5)

Solution for X=-16x(x-5) equation:

X=-16X(X-5)

We move all terms to the left:

X-(-16X(X-5))=0


We calculate terms in parentheses: -(-16X(X-5)), so:

-16X(X-5)

We multiply parentheses

-16X^2+80X

Back to the equation:

-(-16X^2+80X)


We get rid of parentheses

16X^2-80X+X=0

We add all the numbers together, and all the variables

16X^2-79X=0

a = 16; b = -79; c = 0;
Δ = b2-4ac
Δ = -792-4·16·0
Δ = 6241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6241}=79$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-79)-79}{2*16}=\frac{0}{32}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-79)+79}{2*16}=\frac{158}{32}
=4+15/16
$