0,07-31/9x=0,26-x

Solution for 0,07-31/9x=0,26-x equation:

0.07-31/9x=0.26-x

We move all terms to the left:

0.07-31/9x-(0.26-x)=0


Domain of the equation: 9x!=0

x!=0/9

x!=0

x∈R


We add all the numbers together, and all the variables

-31/9x-(-1x+0.26)+0.07=0

We get rid of parentheses

-31/9x+1x-0.26+0.07=0

We multiply all the terms by the denominator


1x*9x-(0.26)*9x+(0.07)*9x-31=0

We multiply parentheses

1x*9x-2.34x+0.63x-31=0

Wy multiply elements

9x^2-2.34x+0.63x-31=0

We add all the numbers together, and all the variables

9x^2-1.71x-31=0

a = 9; b = -1.71; c = -31;
Δ = b2-4ac
Δ = -1.712-4·9·(-31)
Δ = 1118.9241
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{-(-1.71)-\sqrt{1118.9241}}{2*9}=\frac{1.71-\sqrt{1118.9241}}{18}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.71)+\sqrt{1118.9241}}{2*9}=\frac{1.71+\sqrt{1118.9241}}{18}
$