SOLUTION: (3y+2)(y+3)=y+14

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Question 38527This question is from textbook
: (3y+2)(y+3)=y+14 This question is from textbook

Answer by Alwayscheerful(414)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
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YOUR ANSWER


  • This is an equation! Solutions: y=0.666666666666667,y=-4.
  • Graphical form: Equation was fully solved.
  • Text form: (3y+2)*(y+3)=y+14 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (3y+2)*(y+3)=y+14 )
  • 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+-y+%29,highlight_green%28+-14+%29
It becomes .
Look at .
Expanded term %28y%2B3%29 by using associative property on %283%2Ay%2B2%29
It becomes .
Look at .
Expanded term 3%2Ay by using associative property on %28y%2B3%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Reduce similar several occurrences of highlight_red%28+y+%29 to highlight_green%28+y%5E2+%29
It becomes .
Look at .
Eliminated similar terms highlight_red%28+9%2Ay+%29,highlight_red%28+-y+%29 replacing them with highlight_green%28+%289-1%29%2Ay+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+8+%29
It becomes .
Look at .
Expanded term 2 by using associative property on %28y%2B3%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 -8
It becomes .
Look at .
Eliminated similar terms highlight_red%28+8%2Ay+%29,highlight_red%28+2%2Ay+%29 replacing them with highlight_green%28+%288%2B2%29%2Ay+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+10+%29
It becomes .
Look at .
Equation highlight_red%28+3%2Ay%5E2%2B10%2Ay-8=0+%29 is a quadratic equation: 3*y^2+10*y-8 =0, and has solutions 0.666666666666667,-4
It becomes .
Result:
This is an equation! Solutions: y=0.666666666666667,y=-4.

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Done!

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