(60/100)x=5000

Solution for (60/100)x=5000 equation:

(60/100)x=5000

We move all terms to the left:

(60/100)x-(5000)=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

(+60/100)x-5000=0

We multiply parentheses

60x^2-5000=0

a = 60; b = 0; c = -5000;
Δ = b2-4ac
Δ = 02-4·60·(-5000)
Δ = 1200000
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:

$\sqrt{\Delta}=\sqrt{1200000}=\sqrt{40000*30}=\sqrt{40000}*\sqrt{30}=200\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200\sqrt{30}}{2*60}=\frac{0-200\sqrt{30}}{120}
=-\frac{200\sqrt{30}}{120}
=-\frac{5\sqrt{30}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200\sqrt{30}}{2*60}=\frac{0+200\sqrt{30}}{120}
=\frac{200\sqrt{30}}{120}
=\frac{5\sqrt{30}}{3}
$