-x(x+17)=-60

Solution for -x(x+17)=-60 equation:

-x(x+17)=-60

We move all terms to the left:

-x(x+17)-(-60)=0

We add all the numbers together, and all the variables

-x(x+17)+60=0

We multiply parentheses

-x^2-17x+60=0

We add all the numbers together, and all the variables

-1x^2-17x+60=0

a = -1; b = -17; c = +60;
Δ = b2-4ac
Δ = -172-4·(-1)·60
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-23}{2*-1}=\frac{-6}{-2}
=+3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+23}{2*-1}=\frac{40}{-2}
=-20
$