SOLUTION: 2a+4.2=3a-1.6

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Question 22143: 2a+4.2=3a-1.6
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


  • This is an equation! Solutions: a=5.8.
  • Graphical form: Equation 2a%2B4.2=3a-1.6 was fully solved.
  • Text form: 2a+4.2=3a-1.6 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+2a%2B4.2=3a-1.6+%29
    For tutors: simplify_cartoon( 2a+4.2=3a-1.6 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 2%2Aa%2B4.2=highlight_red%28+3%2Aa-1.6+%29.
Moved these terms to the left highlight_green%28+-3%2Aa+%29,highlight_green%28+1.6+%29
It becomes 2%2Aa%2B4.2-highlight_green%28+3%2Aa+%29%2Bhighlight_green%28+1.6+%29=0.
Look at 2%2Aa%2Bhighlight_red%28+4.2+%29-3%2Aa%2Bhighlight_red%28+1.6+%29=0.
Added fractions or integers together
It becomes 2%2Aa%2Bhighlight_green%28+58%2F10+%29-3%2Aa=0.
Look at 2%2Aa%2Bhighlight_red%28+58%2F10+%29-3%2Aa=0.
Moved 58%2F10 to the right of expression
It becomes 2%2Aa-3%2Aa%2Bhighlight_green%28+58%2F10+%29=0.
Look at 2%2Aa-3%2Aa%2Bhighlight_red%28+58+%29%2Fhighlight_red%28+10+%29=0.
Factors 58 and 10 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes 2%2Aa-3%2Aa%2Bhighlight_green%28+29+%29%2Fhighlight_green%28+5+%29=0.
Look at highlight_red%28+2%2Aa+%29-highlight_red%28+3%2Aa+%29%2B29%2F5=0.
Eliminated similar terms highlight_red%28+2%2Aa+%29,highlight_red%28+-3%2Aa+%29 replacing them with highlight_green%28+%282-3%29%2Aa+%29
It becomes highlight_green%28+%282-3%29%2Aa+%29%2B29%2F5=0.
Look at %28highlight_red%28+2+%29-highlight_red%28+3+%29%29%2Aa%2B29%2F5=0.
Added fractions or integers together
It becomes %28highlight_green%28+-1+%29%29%2Aa%2B29%2F5=0.
Look at %28highlight_red%28+-1+%29%29%2Aa%2B29%2F5=0.
Removed extra sign in front of -1
It becomes %28-highlight_green%28+1+%29%29%2Aa%2B29%2F5=0.
Look at highlight_red%28+%28-highlight_red%28+1+%29%29%2Aa+%29%2B29%2F5=0.
Remove unneeded parentheses around factor highlight_red%28+1+%29
It becomes -highlight_green%28+1+%29%2Aa%2B29%2F5=0.
Look at -highlight_red%28+1+%29%2Aa%2B29%2F5=0.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes -a%2B29%2F5=0.
Look at highlight_red%28+-a%2B29%2F5+%29=0.
Solved linear equation highlight_red%28+-a%2B29%2F5=0+%29 equivalent to -a+5.8 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: a=5.8.

Universal Simplifier and Solver


Done!

Hope this helps!