0/1761x=416+553x

Solution for 0/1761x=416+553x equation:

0/1761x=416+553x

We move all terms to the left:

0/1761x-(416+553x)=0


Domain of the equation: 1761x!=0

x!=0/1761

x!=0

x∈R


We add all the numbers together, and all the variables

0/1761x-(553x+416)=0

We get rid of parentheses

0/1761x-553x-416=0

We multiply all the terms by the denominator


-553x*1761x-416*1761x+0=0

We add all the numbers together, and all the variables

-553x*1761x-416*1761x=0

Wy multiply elements

-973833x^2-732576x=0

a = -973833; b = -732576; c = 0;
Δ = b2-4ac
Δ = -7325762-4·(-973833)·0
Δ = 536667595776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{536667595776}=732576$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-732576)-732576}{2*-973833}=\frac{0}{-1947666}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-732576)+732576}{2*-973833}=\frac{1465152}{-1947666}
=-416/553
$