(2x)(1/3x)=7260

Solution for (2x)(1/3x)=7260 equation:

(2x)(1/3x)=7260

We move all terms to the left:

(2x)(1/3x)-(7260)=0


Domain of the equation: 3x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

2x(+1/3x)-7260=0

We multiply parentheses

2x^2-7260=0

a = 2; b = 0; c = -7260;
Δ = b2-4ac
Δ = 02-4·2·(-7260)
Δ = 58080
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:

$\sqrt{\Delta}=\sqrt{58080}=\sqrt{1936*30}=\sqrt{1936}*\sqrt{30}=44\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-44\sqrt{30}}{2*2}=\frac{0-44\sqrt{30}}{4}
=-\frac{44\sqrt{30}}{4}
=-11\sqrt{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+44\sqrt{30}}{2*2}=\frac{0+44\sqrt{30}}{4}
=\frac{44\sqrt{30}}{4}
=11\sqrt{30}
$