0=-16x^2+67x+7

Solution for 0=-16x^2+67x+7 equation:

0=-16x^2+67x+7

We move all terms to the left:

0-(-16x^2+67x+7)=0

We add all the numbers together, and all the variables

-(-16x^2+67x+7)=0

We get rid of parentheses

16x^2-67x-7=0

a = 16; b = -67; c = -7;
Δ = b2-4ac
Δ = -672-4·16·(-7)
Δ = 4937
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{-(-67)-\sqrt{4937}}{2*16}=\frac{67-\sqrt{4937}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-67)+\sqrt{4937}}{2*16}=\frac{67+\sqrt{4937}}{32}
$