100x^2-900x=1000

Solution for 100x^2-900x=1000 equation:

100x^2-900x=1000

We move all terms to the left:

100x^2-900x-(1000)=0

a = 100; b = -900; c = -1000;
Δ = b2-4ac
Δ = -9002-4·100·(-1000)
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{-(-900)-1100}{2*100}=\frac{-200}{200}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-900)+1100}{2*100}=\frac{2000}{200}
=10
$