60x-2400/60x=0.3

Solution for 60x-2400/60x=0.3 equation:

60x-2400/60x=0.3

We move all terms to the left:

60x-2400/60x-(0.3)=0


Domain of the equation: 60x!=0

x!=0/60

x!=0

x∈R


We add all the numbers together, and all the variables

60x-2400/60x-0.3=0

We multiply all the terms by the denominator


60x*60x-(0.3)*60x-2400=0

We multiply parentheses

60x*60x-18x-2400=0

Wy multiply elements

3600x^2-18x-2400=0

a = 3600; b = -18; c = -2400;
Δ = b2-4ac
Δ = -182-4·3600·(-2400)
Δ = 34560324
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:

$\sqrt{\Delta}=\sqrt{34560324}=\sqrt{36*960009}=\sqrt{36}*\sqrt{960009}=6\sqrt{960009}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-6\sqrt{960009}}{2*3600}=\frac{18-6\sqrt{960009}}{7200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+6\sqrt{960009}}{2*3600}=\frac{18+6\sqrt{960009}}{7200}
$