0.02x^2-10x=10000

Solution for 0.02x^2-10x=10000 equation:

0.02x^2-10x=10000

We move all terms to the left:

0.02x^2-10x-(10000)=0

a = 0.02; b = -10; c = -10000;
Δ = b2-4ac
Δ = -102-4·0.02·(-10000)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-30}{2*0.02}=\frac{-20}{0.04}
=-500
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+30}{2*0.02}=\frac{40}{0.04}
=1000
$