5x(35+10x)=550

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Solution for 5x(35+10x)=550 equation:



5x(35+10x)=550
We move all terms to the left:
5x(35+10x)-(550)=0
We add all the numbers together, and all the variables
5x(10x+35)-550=0
We multiply parentheses
50x^2+175x-550=0
a = 50; b = 175; c = -550;
Δ = b2-4ac
Δ = 1752-4·50·(-550)
Δ = 140625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{140625}=375$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(175)-375}{2*50}=\frac{-550}{100} =-5+1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(175)+375}{2*50}=\frac{200}{100} =2 $

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