-5x^2-70x-65=0

Solution for -5x^2-70x-65=0 equation:

-5x^2-70x-65=0

a = -5; b = -70; c = -65;
Δ = b2-4ac
Δ = -702-4·(-5)·(-65)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-60}{2*-5}=\frac{10}{-10}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+60}{2*-5}=\frac{130}{-10}
=-13
$