4x=10-(x/10)

Solution for 4x=10-(x/10) equation:

4x=10-(x/10)

We move all terms to the left:

4x-(10-(x/10))=0

We add all the numbers together, and all the variables

4x-(10-(+x/10))=0

We multiply all the terms by the denominator


4x*10))-(10-(+x=0

We add all the numbers together, and all the variables

x+4x*10))-(10-(=0

Wy multiply elements

40x^2+x=0

a = 40; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·40·0
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*40}=\frac{-2}{80}
=-1/40
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*40}=\frac{0}{80}
=0
$