x2+30x-18000=0

Solution for x2+30x-18000=0 equation:

x2+30x-18000=0

We add all the numbers together, and all the variables

x^2+30x-18000=0

a = 1; b = 30; c = -18000;
Δ = b2-4ac
Δ = 302-4·1·(-18000)
Δ = 72900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{72900}=270$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-270}{2*1}=\frac{-300}{2}
=-150
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+270}{2*1}=\frac{240}{2}
=120
$