0=-2.5x^2-14x-18.5

Solution for 0=-2.5x^2-14x-18.5 equation:

0=-2.5x^2-14x-18.5

We move all terms to the left:

0-(-2.5x^2-14x-18.5)=0

We add all the numbers together, and all the variables

-(-2.5x^2-14x-18.5)=0

We get rid of parentheses

2.5x^2+14x+18.5=0

a = 2.5; b = 14; c = +18.5;
Δ = b2-4ac
Δ = 142-4·2.5·18.5
Δ = 11
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-\sqrt{11}}{2*2.5}=\frac{-14-\sqrt{11}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+\sqrt{11}}{2*2.5}=\frac{-14+\sqrt{11}}{5}
$