0=x^2+9x-160

Solution for 0=x^2+9x-160 equation:

0=x^2+9x-160

We move all terms to the left:

0-(x^2+9x-160)=0

We add all the numbers together, and all the variables

-(x^2+9x-160)=0

We get rid of parentheses

-x^2-9x+160=0

We add all the numbers together, and all the variables

-1x^2-9x+160=0

a = -1; b = -9; c = +160;
Δ = b2-4ac
Δ = -92-4·(-1)·160
Δ = 721
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{-(-9)-\sqrt{721}}{2*-1}=\frac{9-\sqrt{721}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{721}}{2*-1}=\frac{9+\sqrt{721}}{-2}
$