SOLUTION: {{{(x^2/4) -1 -2x = -1}}}

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Question 5849: %28x%5E2%2F4%29+-1+-2x+=+-1
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=8,x=0.
  • Graphical form: Equation %28x%5E2%2F4%29-1-2x=-1 was fully solved.
  • Text form: (x^2/4)-1-2x=-1 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%28x%5E2%2F4%29-1-2x=-1+%29
    For tutors: simplify_cartoon( (x^2/4)-1-2x=-1 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28x%5E2%2F4%29+%29-1-2%2Ax=-1.
Remove unneeded parentheses around terms highlight_red%28+x%5E2%2F4+%29
It becomes highlight_green%28+x%5E2%2F4+%29-1-2%2Ax=-1.
Look at x%5E2%2F4-highlight_red%28+1+%29-2%2Ax=-1.
Moved -1 to the right of expression
It becomes x%5E2%2F4-2%2Ax-highlight_green%28+1+%29=-1.
Look at x%5E2%2F4-2%2Ax-1=highlight_red%28+-1+%29.
Moved these terms to the left highlight_green%28+1+%29
It becomes x%5E2%2F4-2%2Ax-1%2Bhighlight_green%28+1+%29=0.
Look at x%5E2%2F4-2%2Ax-highlight_red%28+1+%29%2Bhighlight_red%28+1+%29=0.
Added fractions or integers together
It becomes x%5E2%2F4-2%2Ax%2Bhighlight_green%28+0+%29=0.
Look at x%5E2%2F4-2%2Ax%2Bhighlight_red%28+0+%29=0.
Remove extraneous zero highlight_red%28+0+%29
It becomes x%5E2%2F4-2%2Ax=0.
Look at highlight_red%28+x%5E2%2F4-2%2Ax+%29=0.
Equation highlight_red%28+x%5E2%2F4-2%2Ax=0+%29 is a quadratic equation: 0.25*x^2-2*x =0, and has solutions 8,0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=8,x=0.

Universal Simplifier and Solver


Done!