1.5x=18000/1x

Solution for 1.5x=18000/1x equation:

1.5x=18000/1x

We move all terms to the left:

1.5x-(18000/1x)=0


Domain of the equation: 1x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

1.5x-(+18000/1x)=0

We get rid of parentheses

1.5x-18000/1x=0

We multiply all the terms by the denominator


(1.5x)*1x-18000=0

We add all the numbers together, and all the variables

(+1.5x)*1x-18000=0

We multiply parentheses

x^2-18000=0

a = 1; b = 0; c = -18000;
Δ = b2-4ac
Δ = 02-4·1·(-18000)
Δ = 72000
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:

$\sqrt{\Delta}=\sqrt{72000}=\sqrt{14400*5}=\sqrt{14400}*\sqrt{5}=120\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120\sqrt{5}}{2*1}=\frac{0-120\sqrt{5}}{2}
=-\frac{120\sqrt{5}}{2}
=-60\sqrt{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120\sqrt{5}}{2*1}=\frac{0+120\sqrt{5}}{2}
=\frac{120\sqrt{5}}{2}
=60\sqrt{5}
$