X2+35x+300=0

Solution for X2+35x+300=0 equation:

X2+35X+300=0

We add all the numbers together, and all the variables

X^2+35X+300=0

a = 1; b = 35; c = +300;
Δ = b2-4ac
Δ = 352-4·1·300
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-5}{2*1}=\frac{-40}{2}
=-20
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+5}{2*1}=\frac{-30}{2}
=-15
$