(x+6)(6x-1)=0

Solution for (x+6)(6x-1)=0 equation:

(x+6)(6x-1)=0

We multiply parentheses ..

(+6x^2-1x+36x-6)=0

We get rid of parentheses

6x^2-1x+36x-6=0

We add all the numbers together, and all the variables

6x^2+35x-6=0

a = 6; b = 35; c = -6;
Δ = b2-4ac
Δ = 352-4·6·(-6)
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-37}{2*6}=\frac{-72}{12}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+37}{2*6}=\frac{2}{12}
=1/6
$