34/100x+26/100x+(26/100x+168)=x

Solution for 34/100x+26/100x+(26/100x+168)=x equation:

34/100x+26/100x+(26/100x+168)=x

We move all terms to the left:

34/100x+26/100x+(26/100x+168)-(x)=0


Domain of the equation: 100x!=0

x!=0/100

x!=0

x∈R



Domain of the equation: 100x+168)!=0

x∈R


We add all the numbers together, and all the variables

-1x+34/100x+26/100x+(26/100x+168)=0

We get rid of parentheses

-1x+34/100x+26/100x+26/100x+168=0

We multiply all the terms by the denominator


-1x*100x+168*100x+34+26+26=0

We add all the numbers together, and all the variables

-1x*100x+168*100x+86=0

Wy multiply elements

-100x^2+16800x+86=0

a = -100; b = 16800; c = +86;
Δ = b2-4ac
Δ = 168002-4·(-100)·86
Δ = 282274400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{282274400}=\sqrt{211600*1334}=\sqrt{211600}*\sqrt{1334}=460\sqrt{1334}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16800)-460\sqrt{1334}}{2*-100}=\frac{-16800-460\sqrt{1334}}{-200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16800)+460\sqrt{1334}}{2*-100}=\frac{-16800+460\sqrt{1334}}{-200}
$