(3/100)*x=700,000

Solution for (3/100)*x=700,000 equation:

(3/100)*x=700.000

We move all terms to the left:

(3/100)*x-(700.000)=0


Domain of the equation: 100)*x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+3/100)*x-700=0

We multiply parentheses

3x^2-700=0

a = 3; b = 0; c = -700;
Δ = b2-4ac
Δ = 02-4·3·(-700)
Δ = 8400
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:

$\sqrt{\Delta}=\sqrt{8400}=\sqrt{400*21}=\sqrt{400}*\sqrt{21}=20\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{21}}{2*3}=\frac{0-20\sqrt{21}}{6}
=-\frac{20\sqrt{21}}{6}
=-\frac{10\sqrt{21}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{21}}{2*3}=\frac{0+20\sqrt{21}}{6}
=\frac{20\sqrt{21}}{6}
=\frac{10\sqrt{21}}{3}
$