5h*13h=20-2

Solution for 5h*13h=20-2 equation:

5h*13h=20-2

We move all terms to the left:

5h*13h-(20-2)=0

We add all the numbers together, and all the variables

5h*13h-18=0

Wy multiply elements

65h^2-18=0

a = 65; b = 0; c = -18;
Δ = b2-4ac
Δ = 02-4·65·(-18)
Δ = 4680
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4680}=\sqrt{36*130}=\sqrt{36}*\sqrt{130}=6\sqrt{130}$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{130}}{2*65}=\frac{0-6\sqrt{130}}{130}
=-\frac{6\sqrt{130}}{130}
=-\frac{3\sqrt{130}}{65}
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{130}}{2*65}=\frac{0+6\sqrt{130}}{130}
=\frac{6\sqrt{130}}{130}
=\frac{3\sqrt{130}}{65}
$