x(x+6)=25098360327301208140478732207264491269146344569023290546870841180700046914183028850922343514647433676415527026108578390014370358651794947804182536788915307460169412837994948011101098285109137173031068423172307757729429249630253677911581699314512587

Simple and best practice solution for x(x+6)=250983603273012081404787322072644912691463445690232905468708411807000469141830288509223435146474336764155270261085783900143703586517949478041825367889153074601694128379949480111010982851091371730310684231723077

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Solution for x(x+6)=25098360327301208140478732207264491269146344569023290546870841180700046914183028850922343514647433676415527026108578390014370358651794947804182536788915307460169412837994948011101098285109137173031068423172307757729429249630253677911581699314512587625402495970230996555851541732527937189306493454658714761793187868963559086662992379779602285197122678180052954185097869982265414032784037892815040432216611497368266828106401971198908001227956134823672961929299401254892232945843829713853793075305162292163748134875796755656674812226247975207935838583513614642293921644896393306461315832404725665646234031198501389252207 equation: 



x(x+6)=25098360327301208140478732207264491269146344569023290546870841180700046914183028850922343514647433676415527026108578390014370358651794947804182536788915307460169412837994948011101098285109137173031068423172307757729429249630253677911581699314512587625402495970230996555851541732527937189306493454658714761793187868963559086662992379779602285197122678180052954185097869982265414032784037892815040432216611497368266828106401971198908001227956134823672961929299401254892232945843829713853793075305162292163748134875796755656674812226247975207935838583513614642293921644896393306461315832404725665646234031198501389252207

We move all terms to the left:

x(x+6)-(25098360327301208140478732207264491269146344569023290546870841180700046914183028850922343514647433676415527026108578390014370358651794947804182536788915307460169412837994948011101098285109137173031068423172307757729429249630253677911581699314512587625402495970230996555851541732527937189306493454658714761793187868963559086662992379779602285197122678180052954185097869982265414032784037892815040432216611497368266828106401971198908001227956134823672961929299401254892232945843829713853793075305162292163748134875796755656674812226247975207935838583513614642293921644896393306461315832404725665646234031198501389252207)=0

We add all the numbers together, and all the variables

x(x+6)=0

We multiply parentheses

x^2+6x=0

a = 1; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·1·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*1}=\frac{-12}{2}
=-6
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*1}=\frac{0}{2}
=0
$

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