SOLUTION: a rectangular box has volume 280^3in. its dimensions are 4in. x(n+2)in. x(n+5)in. find n. use the formula v=lwh

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Question 306892: a rectangular box has volume 280^3in. its dimensions are 4in. x(n+2)in. x(n+5)in. find n. use the formula v=lwh
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
4*(n+2)*(n+5)=280
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: n=5,n=-12.
  • Graphical form: Equation was fully solved.
  • Text form: 4*(n+2)*(n+5)=280 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 4*(n+2)*(n+5)=280 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at .
Moved these terms to the left highlight_green%28+-280+%29
It becomes .

Look at .
Expanded term 4%2A%28n%2B5%29 by using associative property on %28n%2B2%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Expanded term 4%2An by using associative property on %28n%2B5%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Reduce similar several occurrences of highlight_red%28+n+%29 to highlight_green%28+n%5E2+%29
It becomes .

Look at .
Expanded term 8 by using associative property on %28n%2B5%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -240
It becomes .

Look at .
Eliminated similar terms highlight_red%28+20%2An+%29,highlight_red%28+8%2An+%29 replacing them with highlight_green%28+%2820%2B8%29%2An+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+28+%29
It becomes .

Look at .
Equation highlight_red%28+4%2An%5E2%2B28%2An-240=0+%29 is a quadratic equation: 4*n^2+28*n-240 =0, and has solutions 5,-12
It becomes .
Result:
This is an equation! Solutions: n=5,n=-12.

Universal Simplifier and Solver


Done!


Solution n=-12 will not work since lengths can only be positive. So the answer is 5.

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