x(14x+12x+100x)/1000=x

Solution for x(14x+12x+100x)/1000=x equation:

x(14x+12x+100x)/1000=x

We move all terms to the left:

x(14x+12x+100x)/1000-(x)=0

We add all the numbers together, and all the variables

x(+126x)/1000-x=0

We add all the numbers together, and all the variables

-1x+x(+126x)/1000=0

We multiply all the terms by the denominator


-1x*1000+x(+126x)=0

We multiply parentheses

126x^2-1x*1000=0

Wy multiply elements

126x^2-1000x=0

a = 126; b = -1000; c = 0;
Δ = b2-4ac
Δ = -10002-4·126·0
Δ = 1000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1000000}=1000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1000)-1000}{2*126}=\frac{0}{252}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1000)+1000}{2*126}=\frac{2000}{252}
=7+59/63
$