-2x2+110x=900

Solution for -2x2+110x=900 equation:

-2x^2+110x=900

We move all terms to the left:

-2x^2+110x-(900)=0

a = -2; b = 110; c = -900;
Δ = b2-4ac
Δ = 1102-4·(-2)·(-900)
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(110)-70}{2*-2}=\frac{-180}{-4}
=+45
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(110)+70}{2*-2}=\frac{-40}{-4}
=+10
$