1.2x-2.7=3(1/5x+1)

Solution for 1.2x-2.7=3(1/5x+1) equation:

1.2x-2.7=3(1/5x+1)

We move all terms to the left:

1.2x-2.7-(3(1/5x+1))=0


Domain of the equation: 5x+1))!=0

x∈R


We multiply all the terms by the denominator


(1.2x)*5x-(2.7)*5x+1))-(3(1+1))=0

We add all the numbers together, and all the variables

(+1.2x)*5x-(2.7)*5x+1))-(32)=0

We add all the numbers together, and all the variables

(+1.2x)*5x-(2.7)*5x=0

We multiply parentheses

5x^2-13.5x=0

a = 5; b = -13.5; c = 0;
Δ = b2-4ac
Δ = -13.52-4·5·0
Δ = 182.25
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{-(-13.5)-\sqrt{182.25}}{2*5}=\frac{13.5-\sqrt{182.25}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13.5)+\sqrt{182.25}}{2*5}=\frac{13.5+\sqrt{182.25}}{10}
$