0=x(6x+19)-60

Solution for 0=x(6x+19)-60 equation:

0=x(6x+19)-60

We move all terms to the left:

0-(x(6x+19)-60)=0

We add all the numbers together, and all the variables

-(x(6x+19)-60)=0


We calculate terms in parentheses: -(x(6x+19)-60), so:

x(6x+19)-60

We multiply parentheses

6x^2+19x-60

Back to the equation:

-(6x^2+19x-60)


We get rid of parentheses

-6x^2-19x+60=0

a = -6; b = -19; c = +60;
Δ = b2-4ac
Δ = -192-4·(-6)·60
Δ = 1801
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{-(-19)-\sqrt{1801}}{2*-6}=\frac{19-\sqrt{1801}}{-12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19)+\sqrt{1801}}{2*-6}=\frac{19+\sqrt{1801}}{-12}
$