X-1(1/3x)=80

Solution for X-1(1/3x)=80 equation:

X-1(1/3X)=80

We move all terms to the left:

X-1(1/3X)-(80)=0


Domain of the equation: 3X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-1(+1/3X)-80=0

We multiply all the terms by the denominator


X*3X)-1(-80*3X)+1=0

Wy multiply elements

3X^2-240X=0

a = 3; b = -240; c = 0;
Δ = b2-4ac
Δ = -2402-4·3·0
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-240)-240}{2*3}=\frac{0}{6}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-240)+240}{2*3}=\frac{480}{6}
=80
$