SOLUTION: How do i solve this equation? 3(4c+7)=12c

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Question 18930: How do i solve this equation?
3(4c+7)=12c
Answer by Alwayscheerful(414) 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: 3%2A%284c%2B7%29=12c simplifies to 21=0
  • Text form: 3*(4c+7)=12c simplifies to 21=0
  • Cartoon (animation) form: simplify_cartoon%28+3%2A%284c%2B7%29=12c+%29
    For tutors: simplify_cartoon( 3*(4c+7)=12c )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 3%2A%284%2Ac%2B7%29=highlight_red%28+12%2Ac+%29.
Moved these terms to the left highlight_green%28+-12%2Ac+%29
It becomes 3%2A%284%2Ac%2B7%29-highlight_green%28+12%2Ac+%29=0.
Look at highlight_red%28+3%2A%284%2Ac%2B7%29+%29-12%2Ac=0.
Expanded term 3 by using associative property on %284%2Ac%2B7%29
It becomes highlight_green%28+3%2A4%2Ac+%29%2Bhighlight_green%28+3%2A7+%29-12%2Ac=0.
Look at highlight_red%28+3+%29%2Ahighlight_red%28+4+%29%2Ac%2B3%2A7-12%2Ac=0.
Multiplied numerator integers
It becomes highlight_green%28+12+%29%2Ac%2B3%2A7-12%2Ac=0.
Look at 12%2Ac%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+7+%29-12%2Ac=0.
Multiplied numerator integers
It becomes 12%2Ac%2Bhighlight_green%28+21+%29-12%2Ac=0.
Look at 12%2Ac%2Bhighlight_red%28+21+%29-12%2Ac=0.
Moved 21 to the right of expression
It becomes 12%2Ac-12%2Ac%2Bhighlight_green%28+21+%29=0.
Look at highlight_red%28+12%2Ac+%29-highlight_red%28+12%2Ac+%29%2B21=0.
Eliminated similar terms highlight_red%28+12%2Ac+%29,highlight_red%28+-12%2Ac+%29 replacing them with highlight_green%28+%2812-12%29%2Ac+%29
It becomes highlight_green%28+%2812-12%29%2Ac+%29%2B21=0.
Look at highlight_red%28+%2812-12%29%2Ac+%29%2B21=0.
Since highlight_red%28+%2812-12%29%2Ac+%29 has zero as a factor, it should be replaced with a zero
Look at 0%2B21=0.
Added fractions or integers together
It becomes 0%2B21=0.
Look at highlight_red%28+0+%29%2B21=0.
Remove extraneous zero highlight_red%28+0+%29
It becomes 21=0.
Result: 21=0

Universal Simplifier and Solver


Done!

False equation=NO REAL SOLUTION
Hope this helps!