2x^2-110x=-1500

Solution for 2x^2-110x=-1500 equation:

2x^2-110x=-1500

We move all terms to the left:

2x^2-110x-(-1500)=0

We add all the numbers together, and all the variables

2x^2-110x+1500=0

a = 2; b = -110; c = +1500;
Δ = b2-4ac
Δ = -1102-4·2·1500
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-110)-10}{2*2}=\frac{100}{4}
=25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-110)+10}{2*2}=\frac{120}{4}
=30
$