28x*15x=20297

Solution for 28x*15x=20297 equation:

28x*15x=20297

We move all terms to the left:

28x*15x-(20297)=0

Wy multiply elements

420x^2-20297=0

a = 420; b = 0; c = -20297;
Δ = b2-4ac
Δ = 02-4·420·(-20297)
Δ = 34098960
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:

$\sqrt{\Delta}=\sqrt{34098960}=\sqrt{16*2131185}=\sqrt{16}*\sqrt{2131185}=4\sqrt{2131185}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{2131185}}{2*420}=\frac{0-4\sqrt{2131185}}{840}
=-\frac{4\sqrt{2131185}}{840}
=-\frac{\sqrt{2131185}}{210}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{2131185}}{2*420}=\frac{0+4\sqrt{2131185}}{840}
=\frac{4\sqrt{2131185}}{840}
=\frac{\sqrt{2131185}}{210}
$