document.write( "Question 38244: 3-(4-5)+(-5)x6+14
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Algebra.Com's Answer #24109 by lyra(94) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%283-%284-5%29%2B%28-5%29x6%2B14%29%2F%284%28-1-2%29%29\"$ I am assuming that you would like this expression simplified
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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Graphical form: $\"%283-%284-5%29%2B%28-5%29%2A6%2B14%29%2F%284%2A%28-1-2%29%29\"$ simplifies to $\"1\"$
Text form: (3-(4-5)+(-5)*6+14)/(4*(-1-2)) simplifies to 1
Cartoon (animation) form: $\"simplify_cartoon%28+%283-%284-5%29%2B%28-5%29%2A6%2B14%29%2F%284%2A%28-1-2%29%29+%29\"$
For tutors: simplify_cartoon( (3-(4-5)+(-5)*6+14)/(4*(-1-2)) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"%283-highlight_red%28+%284-5%29+%29%2B%28-5%29%2A6%2B14%29%2F%284%2A%28-1-2%29%29\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+-4+%29\"$ , $\"highlight_red%28+5+%29\"$
It becomes

.
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Look at

.
Remove unneeded parentheses around factor $\"highlight_red%28+5+%29\"$
It becomes $\"%283-4%2B5-highlight_green%28+5+%29%2A6%2B14%29%2F%284%2A%28-1-2%29%29\"$ .
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Look at $\"highlight_red%28+%283-4%2B5-5%2A6%2B14%29%2F%28highlight_red%28+4%2A%28-1-2%29+%29%29+%29\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1%2F4+%29\"$ , $\"highlight_red%28+1%2F%28-1-2%29+%29\"$
It becomes $\"%283-4%2B5-5%2A6%2B14%29%2Fhighlight_green%28+4+%29%2Fhighlight_green%28+%28-1-2%29+%29\"$ .
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Look at $\"%283-4%2B5-highlight_red%28+5+%29%2Ahighlight_red%28+6+%29%2B14%29%2F4%2F%28-1-2%29\"$ .
Multiplied numerator integers
It becomes $\"%283-4%2B5-highlight_green%28+30+%29%2B14%29%2F4%2F%28-1-2%29\"$ .
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Look at

.
Added fractions or integers together
It becomes $\"%28highlight_green%28+-12+%29%29%2F4%2F%28-1-2%29\"$ .
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Look at $\"%28-12%29%2F4%2F%28-highlight_red%28+1+%29-highlight_red%28+2+%29%29\"$ .
Added fractions or integers together
It becomes $\"%28-12%29%2F4%2F%28highlight_green%28+-3+%29%29\"$ .
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Look at $\"%28highlight_red%28+-12+%29%29%2F4%2F%28-3%29\"$ .
Removed extra sign in front of $\"-12\"$
It becomes $\"%28-highlight_green%28+12+%29%29%2F4%2F%28-3%29\"$ .
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Look at $\"%28-12%29%2F4%2F%28highlight_red%28+-3+%29%29\"$ .
Removed extra sign in front of $\"-3\"$
It becomes $\"%28-12%29%2F4%2F%28-highlight_green%28+3+%29%29\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+12+%29%29%2F4%2F%28-3%29+%29\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+12+%29\"$
It becomes $\"-highlight_green%28+12+%29%2F4%2F%28-3%29\"$ .
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Look at $\"-highlight_red%28+12%2F4%2F%28-highlight_red%28+3+%29%29+%29\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1%2F3+%29\"$
It becomes $\"12%2F4%2Fhighlight_green%28+3+%29\"$ .
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Look at $\"highlight_red%28+12+%29%2Fhighlight_red%28+4+%29%2F3\"$ .
Factors 12 and 4 have greatest common factor (GCF) of 4. Reducing fraction.
It becomes $\"highlight_green%28+3+%29%2Fhighlight_green%28+1+%29%2F3\"$ .
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Look at $\"highlight_red%28+3+%29%2F1%2Fhighlight_red%28+3+%29\"$ .
Factors 3 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes $\"highlight_green%28+1+%29%2F1%2Fhighlight_green%28+1+%29\"$ .
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Look at $\"1%2Fhighlight_red%28+1+%29%2Fhighlight_red%28+1+%29\"$ .
Multiplied denominator integers
It becomes $\"1%2Fhighlight_green%28+1+%29\"$ .
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Look at $\"highlight_red%28+1+%29%2Fhighlight_red%28+1+%29\"$ .
Reduce similar several occurrences of $\"highlight_red%28+1+%29\"$ to $\"highlight_green%28+1+%29\"$
It becomes $\"highlight_green%28+1+%29\"$ .
Result: $\"1\"$
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Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "Hope this helps and feel free to contact me with further questions,
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