30=112x-16x^2

Solution for 30=112x-16x^2 equation:

30=112x-16x^2

We move all terms to the left:

30-(112x-16x^2)=0

We get rid of parentheses

16x^2-112x+30=0

a = 16; b = -112; c = +30;
Δ = b2-4ac
Δ = -1122-4·16·30
Δ = 10624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{10624}=\sqrt{64*166}=\sqrt{64}*\sqrt{166}=8\sqrt{166}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-112)-8\sqrt{166}}{2*16}=\frac{112-8\sqrt{166}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-112)+8\sqrt{166}}{2*16}=\frac{112+8\sqrt{166}}{32}
$