(5+x)x-2=6

Solution for (5+x)x-2=6 equation:

(5+x)x-2=6

We move all terms to the left:

(5+x)x-2-(6)=0

We add all the numbers together, and all the variables

(x+5)x-2-6=0

We add all the numbers together, and all the variables

(x+5)x-8=0

We multiply parentheses

x^2+5x-8=0

a = 1; b = 5; c = -8;
Δ = b2-4ac
Δ = 52-4·1·(-8)
Δ = 57
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{-(5)-\sqrt{57}}{2*1}=\frac{-5-\sqrt{57}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{57}}{2*1}=\frac{-5+\sqrt{57}}{2}
$