50 POINTS PER USER

for fun problem
I already know that the answer is x=2 or 0.346323
but I would like to know HOW to solve it to apply to future problems
 the question is

[tex]x^x=2x[/tex]
solve for x
SHOW ALL WORK, answers that I think have insuficient work will be asked for clarification

Respuesta :

Solve is in the picture

Two lines

Good luck :)
Ver imagen Nümerik
Ver imagen Nümerik
Hey there, Lets solve this problem step by step. 

First of all, set the given factor '(2 + x)' equal to zero and attempt to solve. 

[tex]2 + x = 0[/tex]
Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the given equation.

[tex]2 + -2 + x = 0 + -2 [/tex] 

Combine like terms:

[tex]2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2[/tex]

Ask: When will x(x−2) equal zero?

2. Answer: When x=0 or x−2=0

3. Solve each of the 2 equations above: 

[tex]x=0,2 [/tex]