-q^2-70q+12000=0

Solution for -q^2-70q+12000=0 equation:

-q^2-70q+12000=0

We add all the numbers together, and all the variables

-1q^2-70q+12000=0

a = -1; b = -70; c = +12000;
Δ = b2-4ac
Δ = -702-4·(-1)·12000
Δ = 52900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{52900}=230$
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-230}{2*-1}=\frac{-160}{-2}
=+80
$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+230}{2*-1}=\frac{300}{-2}
=-150
$