7/x+0,66=15x-2

Solution for 7/x+0,66=15x-2 equation:

7/x+0.66=15x-2

We move all terms to the left:

7/x+0.66-(15x-2)=0


Domain of the equation: x!=0

x∈R


We get rid of parentheses

7/x-15x+2+0.66=0

We multiply all the terms by the denominator


-15x*x+2*x+(0.66)*x+7=0

We add all the numbers together, and all the variables

2x-15x*x+(0.66)*x+7=0

We multiply parentheses

2x-15x*x+0.66x+7=0

Wy multiply elements

-15x^2+2x+0.66x+7=0

We add all the numbers together, and all the variables

-15x^2+2.66x+7=0

a = -15; b = 2.66; c = +7;
Δ = b2-4ac
Δ = 2.662-4·(-15)·7
Δ = 427.0756
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{-(2.66)-\sqrt{427.0756}}{2*-15}=\frac{-2.66-\sqrt{427.0756}}{-30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.66)+\sqrt{427.0756}}{2*-15}=\frac{-2.66+\sqrt{427.0756}}{-30}
$