5x+5x^2=550

Solution for 5x+5x^2=550 equation:

5x+5x^2=550

We move all terms to the left:

5x+5x^2-(550)=0

a = 5; b = 5; c = -550;
Δ = b2-4ac
Δ = 52-4·5·(-550)
Δ = 11025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11025}=105$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-105}{2*5}=\frac{-110}{10}
=-11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+105}{2*5}=\frac{100}{10}
=10
$