SOLUTION: (2x-3)^1/3-3=-2

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Question 173644: (2x-3)^1/3-3=-2
Answer by jojo14344(1505) About Me  (Show Source):
You can put this solution on YOUR website!
%282x-3%29%5E%281%2F3%29-3=-2
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:
Simplify (2x-3)^(1/3)-3=-2
Your Answer:
  • Graphical form: %282x-3%29%5E%281%2F3%29-3=-2 simplifies to %282%2Ax-3%29%5E%281%2F3%29-1=0
  • Text form: (2x-3)^(1/3)-3=-2 simplifies to (2*x-3)^(1/3)-1=0
  • Cartoon (animation) form: simplify_cartoon%28+%282x-3%29%5E%281%2F3%29-3=-2+%29
    simplify_cartoon( (2x-3)^(1/3)-3=-2 )

Detailed explanation:

Look at %282%2Ax-3%29%5E%281%2F3%29-3=highlight_red%28+-2+%29.
Moved these terms to the left highlight_green%28+2+%29
It becomes %282%2Ax-3%29%5E%281%2F3%29-3%2Bhighlight_green%28+2+%29=0.
Look at %282%2Ax-3%29%5E%281%2F3%29-highlight_red%28+3+%29%2Bhighlight_red%28+2+%29=0.
Added fractions or integers together
It becomes %282%2Ax-3%29%5E%281%2F3%29%2Bhighlight_green%28+-1+%29=0.
Look at %282%2Ax-3%29%5E%281%2F3%29%2Bhighlight_red%28+-1+%29=0.
Removed extra sign in front of -1
It becomes %282%2Ax-3%29%5E%281%2F3%29-highlight_green%28+1+%29=0.
Result: %282%2Ax-3%29%5E%281%2F3%29-1=0

Done!

Thank you,
Jojo