15x*8x=63*7

Solution for 15x*8x=63*7 equation:

15x*8x=63*7

We move all terms to the left:

15x*8x-(63*7)=0

We add all the numbers together, and all the variables

15x*8x-441=0

Wy multiply elements

120x^2-441=0

a = 120; b = 0; c = -441;
Δ = b2-4ac
Δ = 02-4·120·(-441)
Δ = 211680
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:

$\sqrt{\Delta}=\sqrt{211680}=\sqrt{7056*30}=\sqrt{7056}*\sqrt{30}=84\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84\sqrt{30}}{2*120}=\frac{0-84\sqrt{30}}{240}
=-\frac{84\sqrt{30}}{240}
=-\frac{7\sqrt{30}}{20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84\sqrt{30}}{2*120}=\frac{0+84\sqrt{30}}{240}
=\frac{84\sqrt{30}}{240}
=\frac{7\sqrt{30}}{20}
$