document.write( "Question 309024: Find all real solutions to each problem.\r
\n" ); document.write( "\n" ); document.write( " $\"%28m%2B1%29%5E%281%2F3%29=5\"$ \n" ); document.write( "

Algebra.Com's Answer #221070 by ichudov(507) $\"\"$ $\"About$

You can put this solution on YOUR website!
just multiply the problem by itself 3 times (cube both sides)\r
\n" ); document.write( "\n" ); document.write( " $\"%28m%2B1%29%5E%281%2F3%29=5\"$
\n" ); document.write( " $\"%28m%2B1%29=5%5E3\"$ \r
\n" ); document.write( "\n" ); document.write( "give it to the simplifier
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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This is an equation! Solutions: m=124.
Graphical form: Equation $\"%28m%2B1%29=5%5E3\"$ was fully solved.
Text form: (m+1)=5^3 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+%28m%2B1%29=5%5E3+%29\"$
For tutors: simplify_cartoon( (m+1)=5^3 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+%28m%2B1%29+%29=5%5E3\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+m+%29\"$ , $\"highlight_red%28+1+%29\"$
It becomes $\"highlight_green%28+m+%29%2Bhighlight_green%28+1+%29=5%5E3\"$ .
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Look at $\"m%2B1=highlight_red%28+5+%29%5Ehighlight_red%28+3+%29\"$ .
Replace constants in factor: $\"highlight_red%28+5+%29\"$ , $\"highlight_red%28+3+%29\"$ with $\"highlight_green%28+125+%29\"$
It becomes $\"m%2B1=highlight_green%28+125+%29\"$ .
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Look at $\"m%2B1=highlight_red%28+125+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-125+%29\"$
It becomes $\"m%2B1-highlight_green%28+125+%29=0\"$ .
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Look at $\"m%2Bhighlight_red%28+1+%29-highlight_red%28+125+%29=0\"$ .
Added fractions or integers together
It becomes $\"m%2Bhighlight_green%28+-124+%29=0\"$ .
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Look at $\"m%2Bhighlight_red%28+-124+%29=0\"$ .
Removed extra sign in front of $\"-124\"$
It becomes $\"m-highlight_green%28+124+%29=0\"$ .
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Look at $\"highlight_red%28+m-124+%29=0\"$ .
Solved linear equation $\"highlight_red%28+m-124=0+%29\"$ equivalent to m-124 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: m=124.

Universal Simplifier and Solver

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Done!

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