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(x^2-4)(sqrt(14+5*x)-x)=0 equation

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Numerical solution:

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The solution

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/ 2    \ /  __________    \    
\x  - 4/*\\/ 14 + 5*x  - x/ = 0
$$\left(- x + \sqrt{5 x + 14}\right) \left(x^{2} - 4\right) = 0$$
The graph
Rapid solution [src]
x1 = -2
$$x_{1} = -2$$
x2 = 2
$$x_{2} = 2$$
x3 = 7
$$x_{3} = 7$$
x3 = 7
Sum and product of roots [src]
sum
-2 + 2 + 7
$$\left(-2 + 2\right) + 7$$
=
7
$$7$$
product
-2*2*7
$$7 \left(- 4\right)$$
=
-28
$$-28$$
-28
Numerical answer [src]
x1 = 2.0
x2 = -2.0
x3 = 7.0
x3 = 7.0