x=4+0.3(x/31)

Solution for x=4+0.3(x/31) equation:

x=4+0.3(x/31)

We move all terms to the left:

x-(4+0.3(x/31))=0

We add all the numbers together, and all the variables

x-(4+0.3(+x/31))=0

We multiply all the terms by the denominator


x*31))-(4+0.3(+x=0

We add all the numbers together, and all the variables

x+x*31))-(4+0.3(=0

Wy multiply elements

31x^2+x=0

a = 31; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·31·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*31}=\frac{-2}{62}
=-1/31
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*31}=\frac{0}{62}
=0
$