10000x^2+45000x=1000000

Solution for 10000x^2+45000x=1000000 equation:

10000x^2+45000x=1000000

We move all terms to the left:

10000x^2+45000x-(1000000)=0

a = 10000; b = 45000; c = -1000000;
Δ = b2-4ac
Δ = 450002-4·10000·(-1000000)
Δ = 42025000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{42025000000}=205000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(45000)-205000}{2*10000}=\frac{-250000}{20000}
=-12+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(45000)+205000}{2*10000}=\frac{160000}{20000}
=8
$