# SOLUTION: Find the real solution of the equation sqrt 32-4x=x

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Question 376158: Find the real solution of the equation sqrt 32-4x=x
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square both sides. Note that squaring means that you can get solutions that are not suitable, in this case if you get a solution of a negative x:

Solved by pluggable solver: EXPLAIN simplification of an expression

 Here's what you tried: This is an equation! Solutions: x=-8,x=4. Graphical form: Equation was fully solved.Text form: 32-4x=x^2 simplifies to 0=0Cartoon (animation) form: For tutors: `simplify_cartoon( 32-4x=x^2 )` If you have a website, here's a link to this solution.

### DETAILED EXPLANATION

Look at .
Moved to the right of expression
It becomes .

Look at .
Moved these terms to the left
It becomes .

Look at .
Moved to the right of expression
It becomes .

Look at .
Equation is a quadratic equation: -x^2-4*x+32 =0, and has solutions -8,4
It becomes .
Result:
This is an equation! Solutions: x=-8,x=4.

### Universal Simplifier and Solver

Done!

x = -8 is a WRONG root, because square root cannot be negative. So your answer is x=4.