6(x)(x+2.5)=2160

Solution for 6(x)(x+2.5)=2160 equation:

6(x)(x+2.5)=2160

We move all terms to the left:

6(x)(x+2.5)-(2160)=0

We multiply parentheses

6x^2+15x-2160=0

a = 6; b = 15; c = -2160;
Δ = b2-4ac
Δ = 152-4·6·(-2160)
Δ = 52065
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:

$\sqrt{\Delta}=\sqrt{52065}=\sqrt{9*5785}=\sqrt{9}*\sqrt{5785}=3\sqrt{5785}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-3\sqrt{5785}}{2*6}=\frac{-15-3\sqrt{5785}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+3\sqrt{5785}}{2*6}=\frac{-15+3\sqrt{5785}}{12}
$