(3/5)x=13.8

Solution for (3/5)x=13.8 equation:

(3/5)x=13.8

We move all terms to the left:

(3/5)x-(13.8)=0


Domain of the equation: 5)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+3/5)x-(13.8)=0

We add all the numbers together, and all the variables

(+3/5)x-13.8=0

We multiply parentheses

3x^2-13.8=0

a = 3; b = 0; c = -13.8;
Δ = b2-4ac
Δ = 02-4·3·(-13.8)
Δ = 165.6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{165.6}}{2*3}=\frac{0-\sqrt{165.6}}{6}
=-\frac{\sqrt{}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{165.6}}{2*3}=\frac{0+\sqrt{165.6}}{6}
=\frac{\sqrt{}}{6}
$