x(x+3)=4(10)

Solution for x(x+3)=4(10) equation:

x(x+3)=4(10)

We move all terms to the left:

x(x+3)-(4(10))=0

determiningTheFunctionDomain
x(x+3)-410=0

We multiply parentheses

x^2+3x-410=0

a = 1; b = 3; c = -410;
Δ = b2-4ac
Δ = 32-4·1·(-410)
Δ = 1649
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{-(3)-\sqrt{1649}}{2*1}=\frac{-3-\sqrt{1649}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{1649}}{2*1}=\frac{-3+\sqrt{1649}}{2}
$