(x+5)x=(6)4

Solution for (x+5)x=(6)4 equation:

(x+5)x=(6)4

We move all terms to the left:

(x+5)x-((6)4)=0

determiningTheFunctionDomain
(x+5)x-64=0

We multiply parentheses

x^2+5x-64=0

a = 1; b = 5; c = -64;
Δ = b2-4ac
Δ = 52-4·1·(-64)
Δ = 281
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{281}}{2*1}=\frac{-5-\sqrt{281}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{281}}{2*1}=\frac{-5+\sqrt{281}}{2}
$