SOLUTION: Please help me simplify this question 5(2d+1)+7(5d+3)

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Question 776918: Please help me simplify this question 5(2d+1)+7(5d+3)
Found 2 solutions by 1998Baby, psbhowmick:
Answer by 1998Baby(63) About Me  (Show Source):
You can put this solution on YOUR website!
5(2d+1)+7(5d+3)
10d+5+35d+21=
final solution is this: 45d+26

Answer by psbhowmick(878) 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


  • Graphical form: Equation 5%2A%282%2Ad%2B1%29%2B7%2A%285%2Ad%2B3%29=45%2Ad%2B26 was fully solved.
  • Text form: 5*(2*d+1)+7*(5*d+3)=45*d+26 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+5%2A%282%2Ad%2B1%29%2B7%2A%285%2Ad%2B3%29=45%2Ad%2B26+%29
    For tutors: simplify_cartoon( 5*(2*d+1)+7*(5*d+3)=45*d+26 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 5%2A%282%2Ad%2B1%29%2B7%2A%285%2Ad%2B3%29=highlight_red%28+45%2Ad%2B26+%29.
Moved these terms to the left highlight_green%28+-45%2Ad+%29,highlight_green%28+-26+%29
It becomes .
Look at highlight_red%28+5%2A%282%2Ad%2B1%29+%29%2B7%2A%285%2Ad%2B3%29-45%2Ad-26=0.
Expanded term 5 by using associative property on %282%2Ad%2B1%29
It becomes .
Look at .
Multiplied numerator integers
It becomes highlight_green%28+10+%29%2Ad%2B5%2A1%2B7%2A%285%2Ad%2B3%29-45%2Ad-26=0.
Look at 10%2Ad%2Bhighlight_red%28+5+%29%2Ahighlight_red%28+1+%29%2B7%2A%285%2Ad%2B3%29-45%2Ad-26=0.
Multiplied numerator integers
It becomes 10%2Ad%2Bhighlight_green%28+5+%29%2B7%2A%285%2Ad%2B3%29-45%2Ad-26=0.
Look at 10%2Ad%2Bhighlight_red%28+5+%29%2B7%2A%285%2Ad%2B3%29-45%2Ad-highlight_red%28+26+%29=0.
Added fractions or integers together
It becomes 10%2Ad%2Bhighlight_green%28+-21+%29%2B7%2A%285%2Ad%2B3%29-45%2Ad=0.
Look at 10%2Ad%2Bhighlight_red%28+-21+%29%2B7%2A%285%2Ad%2B3%29-45%2Ad=0.
Moved -21 to the right of expression
It becomes 10%2Ad%2B7%2A%285%2Ad%2B3%29-45%2Ad%2Bhighlight_green%28+-21+%29=0.
Look at 10%2Ad%2B7%2A%285%2Ad%2B3%29-45%2Ad%2Bhighlight_red%28+-21+%29=0.
Removed extra sign in front of -21
It becomes 10%2Ad%2B7%2A%285%2Ad%2B3%29-45%2Ad-highlight_green%28+21+%29=0.
Look at highlight_red%28+10%2Ad+%29%2B7%2A%285%2Ad%2B3%29-highlight_red%28+45%2Ad+%29-21=0.
Eliminated similar terms highlight_red%28+10%2Ad+%29,highlight_red%28+-45%2Ad+%29 replacing them with highlight_green%28+%2810-45%29%2Ad+%29
It becomes highlight_green%28+%2810-45%29%2Ad+%29%2B7%2A%285%2Ad%2B3%29-21=0.
Look at %28highlight_red%28+10+%29-highlight_red%28+45+%29%29%2Ad%2B7%2A%285%2Ad%2B3%29-21=0.
Added fractions or integers together
It becomes %28highlight_green%28+-35+%29%29%2Ad%2B7%2A%285%2Ad%2B3%29-21=0.
Look at %28highlight_red%28+-35+%29%29%2Ad%2B7%2A%285%2Ad%2B3%29-21=0.
Removed extra sign in front of -35
It becomes %28-highlight_green%28+35+%29%29%2Ad%2B7%2A%285%2Ad%2B3%29-21=0.
Look at highlight_red%28+%28-highlight_red%28+35+%29%29%2Ad+%29%2B7%2A%285%2Ad%2B3%29-21=0.
Remove unneeded parentheses around factor highlight_red%28+35+%29
It becomes -highlight_green%28+35+%29%2Ad%2B7%2A%285%2Ad%2B3%29-21=0.
Look at -35%2Ad%2Bhighlight_red%28+7%2A%285%2Ad%2B3%29+%29-21=0.
Expanded term 7 by using associative property on %285%2Ad%2B3%29
It becomes -35%2Ad%2Bhighlight_green%28+7%2A5%2Ad+%29%2Bhighlight_green%28+7%2A3+%29-21=0.
Look at -35%2Ad%2Bhighlight_red%28+7+%29%2Ahighlight_red%28+5+%29%2Ad%2B7%2A3-21=0.
Multiplied numerator integers
It becomes -35%2Ad%2Bhighlight_green%28+35+%29%2Ad%2B7%2A3-21=0.
Look at -35%2Ad%2B35%2Ad%2Bhighlight_red%28+7+%29%2Ahighlight_red%28+3+%29-21=0.
Multiplied numerator integers
It becomes -35%2Ad%2B35%2Ad%2Bhighlight_green%28+21+%29-21=0.
Look at -35%2Ad%2B35%2Ad%2Bhighlight_red%28+21+%29-highlight_red%28+21+%29=0.
Added fractions or integers together
It becomes -35%2Ad%2B35%2Ad%2Bhighlight_green%28+0+%29=0.
Look at -35%2Ad%2B35%2Ad%2Bhighlight_red%28+0+%29=0.
Remove extraneous zero highlight_red%28+0+%29
It becomes -35%2Ad%2B35%2Ad=0.
Look at -highlight_red%28+35%2Ad+%29%2Bhighlight_red%28+35%2Ad+%29=0.
Eliminated similar terms highlight_red%28+-35%2Ad+%29,highlight_red%28+35%2Ad+%29 replacing them with highlight_green%28+%28-35%2B35%29%2Ad+%29
It becomes highlight_green%28+%28-35%2B35%29%2Ad+%29=0.
Look at highlight_red%28+%28-35%2B35%29%2Ad+%29=0.
Since highlight_red%28+%28-35%2B35%29%2Ad+%29 has zero as a factor, it should be replaced with a zero
Look at 0=0.
Added fractions or integers together
It becomes 0=0.
Result: 0=0

Universal Simplifier and Solver


Done!