x*2.5x*6=1500

Solution for x*2.5x*6=1500 equation:

x*2.5x*6=1500

We move all terms to the left:

x*2.5x*6-(1500)=0

Wy multiply elements

12x^2-1500=0

a = 12; b = 0; c = -1500;
Δ = b2-4ac
Δ = 02-4·12·(-1500)
Δ = 72000
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:

$\sqrt{\Delta}=\sqrt{72000}=\sqrt{14400*5}=\sqrt{14400}*\sqrt{5}=120\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120\sqrt{5}}{2*12}=\frac{0-120\sqrt{5}}{24}
=-\frac{120\sqrt{5}}{24}
=-5\sqrt{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120\sqrt{5}}{2*12}=\frac{0+120\sqrt{5}}{24}
=\frac{120\sqrt{5}}{24}
=5\sqrt{5}
$