5x*31x=22

Solution for 5x*31x=22 equation:

5x*31x=22

We move all terms to the left:

5x*31x-(22)=0

Wy multiply elements

155x^2-22=0

a = 155; b = 0; c = -22;
Δ = b2-4ac
Δ = 02-4·155·(-22)
Δ = 13640
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:

$\sqrt{\Delta}=\sqrt{13640}=\sqrt{4*3410}=\sqrt{4}*\sqrt{3410}=2\sqrt{3410}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{3410}}{2*155}=\frac{0-2\sqrt{3410}}{310}
=-\frac{2\sqrt{3410}}{310}
=-\frac{\sqrt{3410}}{155}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{3410}}{2*155}=\frac{0+2\sqrt{3410}}{310}
=\frac{2\sqrt{3410}}{310}
=\frac{\sqrt{3410}}{155}
$