0=2.5+30x-16X^2

Solution for 0=2.5+30x-16X^2 equation:

0=2.5+30x-16x^2

We move all terms to the left:

0-(2.5+30x-16x^2)=0

We add all the numbers together, and all the variables

-(2.5+30x-16x^2)=0

We get rid of parentheses

16x^2-30x-2.5=0

a = 16; b = -30; c = -2.5;
Δ = b2-4ac
Δ = -302-4·16·(-2.5)
Δ = 1060
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:

$\sqrt{\Delta}=\sqrt{1060}=\sqrt{4*265}=\sqrt{4}*\sqrt{265}=2\sqrt{265}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-2\sqrt{265}}{2*16}=\frac{30-2\sqrt{265}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+2\sqrt{265}}{2*16}=\frac{30+2\sqrt{265}}{32}
$