100x^2-100x=3000

Solution for 100x^2-100x=3000 equation:

100x^2-100x=3000

We move all terms to the left:

100x^2-100x-(3000)=0

a = 100; b = -100; c = -3000;
Δ = b2-4ac
Δ = -1002-4·100·(-3000)
Δ = 1210000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1210000}=1100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-1100}{2*100}=\frac{-1000}{200}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+1100}{2*100}=\frac{1200}{200}
=6
$