0=-16x^2+38x+74

Solution for 0=-16x^2+38x+74 equation:

0=-16x^2+38x+74

We move all terms to the left:

0-(-16x^2+38x+74)=0

We add all the numbers together, and all the variables

-(-16x^2+38x+74)=0

We get rid of parentheses

16x^2-38x-74=0

a = 16; b = -38; c = -74;
Δ = b2-4ac
Δ = -382-4·16·(-74)
Δ = 6180
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:

$\sqrt{\Delta}=\sqrt{6180}=\sqrt{4*1545}=\sqrt{4}*\sqrt{1545}=2\sqrt{1545}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-38)-2\sqrt{1545}}{2*16}=\frac{38-2\sqrt{1545}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-38)+2\sqrt{1545}}{2*16}=\frac{38+2\sqrt{1545}}{32}
$