6x^2+13x+2=O

Solution for 6x^2+13x+2=O equation:

6x^2+13x+2=

We move all terms to the left:

6x^2+13x+2-()=0

We add all the numbers together, and all the variables

6x^2+13x=0

a = 6; b = 13; c = 0;
Δ = b2-4ac
Δ = 132-4·6·0
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-13}{2*6}=\frac{-26}{12}
=-2+1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+13}{2*6}=\frac{0}{12}
=0
$