X=-16x^2+156x+105

Solution for X=-16x^2+156x+105 equation:

X=-16X^2+156X+105

We move all terms to the left:

X-(-16X^2+156X+105)=0

We get rid of parentheses

16X^2-156X+X-105=0

We add all the numbers together, and all the variables

16X^2-155X-105=0

a = 16; b = -155; c = -105;
Δ = b2-4ac
Δ = -1552-4·16·(-105)
Δ = 30745
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-155)-\sqrt{30745}}{2*16}=\frac{155-\sqrt{30745}}{32}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-155)+\sqrt{30745}}{2*16}=\frac{155+\sqrt{30745}}{32}
$