2a*3*5a=300

Solution for 2a*3*5a=300 equation:

2a*3*5a=300

We move all terms to the left:

2a*3*5a-(300)=0

Wy multiply elements

30a^2*5-300=0

Wy multiply elements

150a^2-300=0

a = 150; b = 0; c = -300;
Δ = b2-4ac
Δ = 02-4·150·(-300)
Δ = 180000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{180000}=\sqrt{90000*2}=\sqrt{90000}*\sqrt{2}=300\sqrt{2}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-300\sqrt{2}}{2*150}=\frac{0-300\sqrt{2}}{300}
=-\frac{300\sqrt{2}}{300}
=-\sqrt{2}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+300\sqrt{2}}{2*150}=\frac{0+300\sqrt{2}}{300}
=\frac{300\sqrt{2}}{300}
=\sqrt{2}
$