17=24x*15x

Solution for 17=24x*15x equation:

17=24x*15x

We move all terms to the left:

17-(24x*15x)=0

We add all the numbers together, and all the variables

-(+24x*15x)+17=0

We get rid of parentheses

-24x*15x+17=0

Wy multiply elements

-360x^2+17=0

a = -360; b = 0; c = +17;
Δ = b2-4ac
Δ = 02-4·(-360)·17
Δ = 24480
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:

$\sqrt{\Delta}=\sqrt{24480}=\sqrt{144*170}=\sqrt{144}*\sqrt{170}=12\sqrt{170}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{170}}{2*-360}=\frac{0-12\sqrt{170}}{-720}
=-\frac{12\sqrt{170}}{-720}
=-\frac{\sqrt{170}}{-60}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{170}}{2*-360}=\frac{0+12\sqrt{170}}{-720}
=\frac{12\sqrt{170}}{-720}
=\frac{\sqrt{170}}{-60}
$