0=4x^2+67x

Solution for 0=4x^2+67x equation:

0=4x^2+67x

We move all terms to the left:

0-(4x^2+67x)=0

We add all the numbers together, and all the variables

-(4x^2+67x)=0

We get rid of parentheses

-4x^2-67x=0

a = -4; b = -67; c = 0;
Δ = b2-4ac
Δ = -672-4·(-4)·0
Δ = 4489
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4489}=67$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-67)-67}{2*-4}=\frac{0}{-8}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-67)+67}{2*-4}=\frac{134}{-8}
=-16+3/4
$