60=3x^2+3x

Solution for 60=3x^2+3x equation:

60=3x^2+3x

We move all terms to the left:

60-(3x^2+3x)=0

We get rid of parentheses

-3x^2-3x+60=0

a = -3; b = -3; c = +60;
Δ = b2-4ac
Δ = -32-4·(-3)·60
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-27}{2*-3}=\frac{-24}{-6}
=+4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+27}{2*-3}=\frac{30}{-6}
=-5
$