6x(x+10)=60

Solution for 6x(x+10)=60 equation:

6x(x+10)=60

We move all terms to the left:

6x(x+10)-(60)=0

We multiply parentheses

6x^2+60x-60=0

a = 6; b = 60; c = -60;
Δ = b2-4ac
Δ = 602-4·6·(-60)
Δ = 5040
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{5040}=\sqrt{144*35}=\sqrt{144}*\sqrt{35}=12\sqrt{35}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-12\sqrt{35}}{2*6}=\frac{-60-12\sqrt{35}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+12\sqrt{35}}{2*6}=\frac{-60+12\sqrt{35}}{12}
$