658265+1000084765x(566252+1000084765x)=572993729302039844

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Solution for 658265+1000084765x(566252+1000084765x)=572993729302039844 equation:



658265+1000084765x(566252+1000084765x)=572993729302039844
We move all terms to the left:
658265+1000084765x(566252+1000084765x)-(572993729302039844)=0
We add all the numbers together, and all the variables
1000084765x(1000084765x+566252)+658265-572993729302039844=0
We add all the numbers together, and all the variables
1000084765x(1000084765x+566252)-572993729301381579=0
We multiply parentheses
1000169537185105225x^2+566299998350780x-572993729301381579=0
a = 1000169537185105225; b = 566299998350780; c = -572993729301381579;
Δ = b2-4ac
Δ = 5662999983507802-4·1000169537185105225·(-572993729301381579)
Δ = 2.29236381288E+36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2.29236381288E+36}=1.51405541935E+18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(566299998350780)-1.51405541935E+18}{2*1000169537185105225}=\frac{13.8828313033}{2000339074370210450} =7.37338033363/1.0624101431E+18 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(566299998350780)+1.51405541935E+18}{2*1000169537185105225}=\frac{22.1140899707}{2000339074370210450} =10.4603353108/9.46193918941E+17 $

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