SOLUTION: what is 2(12b+7)=9b-1

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Question 209876: what is 2(12b+7)=9b-1
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
2%2812b%2B7%29=9b-1

The following steps will solve the above equation:

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: b=-1.
  • Graphical form: Equation 2%2A%2812b%2B7%29=9b-1 was fully solved.
  • Text form: 2*(12b+7)=9b-1 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+2%2A%2812b%2B7%29=9b-1+%29
    For tutors: simplify_cartoon( 2*(12b+7)=9b-1 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 2%2A%2812%2Ab%2B7%29=highlight_red%28+9%2Ab-1+%29.
Moved these terms to the left highlight_green%28+-9%2Ab+%29,highlight_green%28+1+%29
It becomes 2%2A%2812%2Ab%2B7%29-highlight_green%28+9%2Ab+%29%2Bhighlight_green%28+1+%29=0.
Look at highlight_red%28+2%2A%2812%2Ab%2B7%29+%29-9%2Ab%2B1=0.
Expanded term 2 by using associative property on %2812%2Ab%2B7%29
It becomes highlight_green%28+2%2A12%2Ab+%29%2Bhighlight_green%28+2%2A7+%29-9%2Ab%2B1=0.
Look at highlight_red%28+2+%29%2Ahighlight_red%28+12+%29%2Ab%2B2%2A7-9%2Ab%2B1=0.
Multiplied numerator integers
It becomes highlight_green%28+24+%29%2Ab%2B2%2A7-9%2Ab%2B1=0.
Look at 24%2Ab%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+7+%29-9%2Ab%2B1=0.
Multiplied numerator integers
It becomes 24%2Ab%2Bhighlight_green%28+14+%29-9%2Ab%2B1=0.
Look at 24%2Ab%2Bhighlight_red%28+14+%29-9%2Ab%2Bhighlight_red%28+1+%29=0.
Added fractions or integers together
It becomes 24%2Ab%2Bhighlight_green%28+15+%29-9%2Ab=0.
Look at 24%2Ab%2Bhighlight_red%28+15+%29-9%2Ab=0.
Moved 15 to the right of expression
It becomes 24%2Ab-9%2Ab%2Bhighlight_green%28+15+%29=0.
Look at highlight_red%28+24%2Ab+%29-highlight_red%28+9%2Ab+%29%2B15=0.
Eliminated similar terms highlight_red%28+24%2Ab+%29,highlight_red%28+-9%2Ab+%29 replacing them with highlight_green%28+%2824-9%29%2Ab+%29
It becomes highlight_green%28+%2824-9%29%2Ab+%29%2B15=0.
Look at %28highlight_red%28+24+%29-highlight_red%28+9+%29%29%2Ab%2B15=0.
Added fractions or integers together
It becomes %28highlight_green%28+15+%29%29%2Ab%2B15=0.
Look at highlight_red%28+%28highlight_red%28+15+%29%29%2Ab+%29%2B15=0.
Remove unneeded parentheses around factor highlight_red%28+15+%29
It becomes highlight_green%28+15+%29%2Ab%2B15=0.
Look at highlight_red%28+15%2Ab%2B15+%29=0.
Solved linear equation highlight_red%28+15%2Ab%2B15=0+%29 equivalent to 15*b+15 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: b=-1.

Universal Simplifier and Solver


Done!



The answer is b=-1.

I just found this problem on 18 Sep 09, but I hope the above steps were helpful. Sorry about the late response.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J