4/5x+1.6=x

Solution for 4/5x+1.6=x equation:

4/5x+1.6=x

We move all terms to the left:

4/5x+1.6-(x)=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We add all the numbers together, and all the variables

-1x+4/5x+1.6=0

We multiply all the terms by the denominator


-1x*5x+(1.6)*5x+4=0

We multiply parentheses

-1x*5x+8x+4=0

Wy multiply elements

-5x^2+8x+4=0

a = -5; b = 8; c = +4;
Δ = b2-4ac
Δ = 82-4·(-5)·4
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-12}{2*-5}=\frac{-20}{-10}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+12}{2*-5}=\frac{4}{-10}
=-2/5
$