2x^2-30x=2000

Solution for 2x^2-30x=2000 equation:

2x^2-30x=2000

We move all terms to the left:

2x^2-30x-(2000)=0

a = 2; b = -30; c = -2000;
Δ = b2-4ac
Δ = -302-4·2·(-2000)
Δ = 16900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16900}=130$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-130}{2*2}=\frac{-100}{4}
=-25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+130}{2*2}=\frac{160}{4}
=40
$