18x*2x=1700

Solution for 18x*2x=1700 equation:

18x*2x=1700

We move all terms to the left:

18x*2x-(1700)=0

Wy multiply elements

36x^2-1700=0

a = 36; b = 0; c = -1700;
Δ = b2-4ac
Δ = 02-4·36·(-1700)
Δ = 244800
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:

$\sqrt{\Delta}=\sqrt{244800}=\sqrt{14400*17}=\sqrt{14400}*\sqrt{17}=120\sqrt{17}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120\sqrt{17}}{2*36}=\frac{0-120\sqrt{17}}{72}
=-\frac{120\sqrt{17}}{72}
=-\frac{5\sqrt{17}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120\sqrt{17}}{2*36}=\frac{0+120\sqrt{17}}{72}
=\frac{120\sqrt{17}}{72}
=\frac{5\sqrt{17}}{3}
$