14400=15*5x*3x

Solution for 14400=15*5x*3x equation:

14400=15*5x*3x

We move all terms to the left:

14400-(15*5x*3x)=0

We add all the numbers together, and all the variables

-(+15*5x*3x)+14400=0

We get rid of parentheses

-15*5x*3x+14400=0

Wy multiply elements

-225x^2*3+14400=0

Wy multiply elements

-675x^2+14400=0

a = -675; b = 0; c = +14400;
Δ = b2-4ac
Δ = 02-4·(-675)·14400
Δ = 38880000
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:

$\sqrt{\Delta}=\sqrt{38880000}=\sqrt{12960000*3}=\sqrt{12960000}*\sqrt{3}=3600\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-3600\sqrt{3}}{2*-675}=\frac{0-3600\sqrt{3}}{-1350}
=-\frac{3600\sqrt{3}}{-1350}
=-\frac{8\sqrt{3}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+3600\sqrt{3}}{2*-675}=\frac{0+3600\sqrt{3}}{-1350}
=\frac{3600\sqrt{3}}{-1350}
=\frac{8\sqrt{3}}{-3}
$