(X+6)(5x-1)=0

Solution for (X+6)(5x-1)=0 equation:

(X+6)(5X-1)=0

We multiply parentheses ..

(+5X^2-1X+30X-6)=0

We get rid of parentheses

5X^2-1X+30X-6=0

We add all the numbers together, and all the variables

5X^2+29X-6=0

a = 5; b = 29; c = -6;
Δ = b2-4ac
Δ = 292-4·5·(-6)
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{961}=31$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(29)-31}{2*5}=\frac{-60}{10}
=-6
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29)+31}{2*5}=\frac{2}{10}
=1/5
$