x(x+5)=4(4+2)

Solution for x(x+5)=4(4+2) equation:

x(x+5)=4(4+2)

We move all terms to the left:

x(x+5)-(4(4+2))=0

We add all the numbers together, and all the variables

x(x+5)-(46)=0

We add all the numbers together, and all the variables

x(x+5)-46=0

We multiply parentheses

x^2+5x-46=0

a = 1; b = 5; c = -46;
Δ = b2-4ac
Δ = 52-4·1·(-46)
Δ = 209
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{209}}{2*1}=\frac{-5-\sqrt{209}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{209}}{2*1}=\frac{-5+\sqrt{209}}{2}
$