75*10^2x=300

Solution for 75*10^2x=300 equation:

75*10^2x=300

We move all terms to the left:

75*10^2x-(300)=0

Wy multiply elements

750x^2-300=0

a = 750; b = 0; c = -300;
Δ = b2-4ac
Δ = 02-4·750·(-300)
Δ = 900000
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:

$\sqrt{\Delta}=\sqrt{900000}=\sqrt{90000*10}=\sqrt{90000}*\sqrt{10}=300\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-300\sqrt{10}}{2*750}=\frac{0-300\sqrt{10}}{1500}
=-\frac{300\sqrt{10}}{1500}
=-\frac{\sqrt{10}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+300\sqrt{10}}{2*750}=\frac{0+300\sqrt{10}}{1500}
=\frac{300\sqrt{10}}{1500}
=\frac{\sqrt{10}}{5}
$