-5x^2-87x-391=3x-6

Solution for -5x^2-87x-391=3x-6 equation:

-5x^2-87x-391=3x-6

We move all terms to the left:

-5x^2-87x-391-(3x-6)=0

We get rid of parentheses

-5x^2-87x-3x+6-391=0

We add all the numbers together, and all the variables

-5x^2-90x-385=0

a = -5; b = -90; c = -385;
Δ = b2-4ac
Δ = -902-4·(-5)·(-385)
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-90)-20}{2*-5}=\frac{70}{-10}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-90)+20}{2*-5}=\frac{110}{-10}
=-11
$