0.01(x^2)-x-1200=6000

Solution for 0.01(x^2)-x-1200=6000 equation:

0.01(x^2)-x-1200=6000

We move all terms to the left:

0.01(x^2)-x-1200-(6000)=0

We add all the numbers together, and all the variables

0.01x^2-1x-7200=0

a = 0.01; b = -1; c = -7200;
Δ = b2-4ac
Δ = -12-4·0.01·(-7200)
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-17}{2*0.01}=\frac{-16}{0.02}
=-800
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+17}{2*0.01}=\frac{18}{0.02}
=900
$