3*10^2x=3600

Solution for 3*10^2x=3600 equation:

3*10^2x=3600

We move all terms to the left:

3*10^2x-(3600)=0

Wy multiply elements

30x^2-3600=0

a = 30; b = 0; c = -3600;
Δ = b2-4ac
Δ = 02-4·30·(-3600)
Δ = 432000
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:

$\sqrt{\Delta}=\sqrt{432000}=\sqrt{14400*30}=\sqrt{14400}*\sqrt{30}=120\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120\sqrt{30}}{2*30}=\frac{0-120\sqrt{30}}{60}
=-\frac{120\sqrt{30}}{60}
=-2\sqrt{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120\sqrt{30}}{2*30}=\frac{0+120\sqrt{30}}{60}
=\frac{120\sqrt{30}}{60}
=2\sqrt{30}
$