0=-16x^2+58.4x+6

Solution for 0=-16x^2+58.4x+6 equation:

0=-16x^2+58.4x+6

We move all terms to the left:

0-(-16x^2+58.4x+6)=0

We add all the numbers together, and all the variables

-(-16x^2+58.4x+6)=0

We get rid of parentheses

16x^2-58.4x-6=0

a = 16; b = -58.4; c = -6;
Δ = b2-4ac
Δ = -58.42-4·16·(-6)
Δ = 3794.56
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{-(-58.4)-\sqrt{3794.56}}{2*16}=\frac{58.4-\sqrt{3794.56}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-58.4)+\sqrt{3794.56}}{2*16}=\frac{58.4+\sqrt{3794.56}}{32}
$