2x*9x=45

Solution for 2x*9x=45 equation:

2x*9x=45

We move all terms to the left:

2x*9x-(45)=0

Wy multiply elements

18x^2-45=0

a = 18; b = 0; c = -45;
Δ = b2-4ac
Δ = 02-4·18·(-45)
Δ = 3240
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:

$\sqrt{\Delta}=\sqrt{3240}=\sqrt{324*10}=\sqrt{324}*\sqrt{10}=18\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18\sqrt{10}}{2*18}=\frac{0-18\sqrt{10}}{36}
=-\frac{18\sqrt{10}}{36}
=-\frac{\sqrt{10}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18\sqrt{10}}{2*18}=\frac{0+18\sqrt{10}}{36}
=\frac{18\sqrt{10}}{36}
=\frac{\sqrt{10}}{2}
$