6/x+0.14=0.29x=

Solution for 6/x+0.14=0.29x= equation:

6/x+0.14=0.29x=

We move all terms to the left:

6/x+0.14-(0.29x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

6/x-(+0.29x)+0.14=0

We get rid of parentheses

6/x-0.29x+0.14=0

We multiply all the terms by the denominator


-(0.29x)*x+(0.14)*x+6=0

We add all the numbers together, and all the variables

-(+0.29x)*x+(0.14)*x+6=0

We multiply parentheses

-0x^2+0.14x+6=0

We add all the numbers together, and all the variables

-1x^2+0.14x+6=0

a = -1; b = 0.14; c = +6;
Δ = b2-4ac
Δ = 0.142-4·(-1)·6
Δ = 24.0196
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{-(0.14)-\sqrt{24.0196}}{2*-1}=\frac{-0.14-\sqrt{24.0196}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.14)+\sqrt{24.0196}}{2*-1}=\frac{-0.14+\sqrt{24.0196}}{-2}
$