2=-0.01x^2-100x+2525.5

Solution for 2=-0.01x^2-100x+2525.5 equation:

2=-0.01x^2-100x+2525.5

We move all terms to the left:

2-(-0.01x^2-100x+2525.5)=0

We get rid of parentheses

0.01x^2+100x-2525.5+2=0

We add all the numbers together, and all the variables

0.01x^2+100x-2523.5=0

a = 0.01; b = 100; c = -2523.5;
Δ = b2-4ac
Δ = 1002-4·0.01·(-2523.5)
Δ = 10100.94
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(100)-\sqrt{10100.94}}{2*0.01}=\frac{-100-\sqrt{10100.94}}{0.02}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+\sqrt{10100.94}}{2*0.01}=\frac{-100+\sqrt{10100.94}}{0.02}
$