SOLUTION: 2.8-3w=4.6-w

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Question 22146: 2.8-3w=4.6-w
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: w=-0.9.
  • Graphical form: Equation 2.8-3w=4.6-w was fully solved.
  • Text form: 2.8-3w=4.6-w simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+2.8-3w=4.6-w+%29
    For tutors: simplify_cartoon( 2.8-3w=4.6-w )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at highlight_red%28+2.8+%29-3%2Aw=4.6-w.
Moved 2.8 to the right of expression
It becomes -3%2Aw%2Bhighlight_green%28+2.8+%29=4.6-w.

Look at -3%2Aw%2B2.8=highlight_red%28+4.6+%29-w.
Moved 4.6 to the right of expression
It becomes -3%2Aw%2B2.8=-w%2Bhighlight_green%28+4.6+%29.

Look at -3%2Aw%2B2.8=highlight_red%28+-w%2B4.6+%29.
Moved these terms to the left highlight_green%28+w+%29,highlight_green%28+-4.6+%29
It becomes -3%2Aw%2B2.8%2Bhighlight_green%28+w+%29-highlight_green%28+4.6+%29=0.

Look at -3%2Aw%2Bhighlight_red%28+2.8+%29%2Bw-highlight_red%28+4.6+%29=0.
Added fractions or integers together
It becomes -3%2Aw-highlight_green%28+18%2F10+%29%2Bw=0.

Look at -3%2Aw-highlight_red%28+18%2F10+%29%2Bw=0.
Moved -18%2F10 to the right of expression
It becomes -3%2Aw%2Bw-highlight_green%28+18%2F10+%29=0.

Look at -3%2Aw%2Bw-highlight_red%28+18+%29%2Fhighlight_red%28+10+%29=0.
Factors 18 and 10 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes -3%2Aw%2Bw-highlight_green%28+9+%29%2Fhighlight_green%28+5+%29=0.

Look at -highlight_red%28+3%2Aw+%29%2Bhighlight_red%28+w+%29-9%2F5=0.
Eliminated similar terms highlight_red%28+-3%2Aw+%29,highlight_red%28+w+%29 replacing them with highlight_green%28+%28-3%2B1%29%2Aw+%29
It becomes highlight_green%28+%28-3%2B1%29%2Aw+%29-9%2F5=0.

Look at %28-highlight_red%28+3+%29%2Bhighlight_red%28+1+%29%29%2Aw-9%2F5=0.
Added fractions or integers together
It becomes %28highlight_green%28+-2+%29%29%2Aw-9%2F5=0.

Look at %28highlight_red%28+-2+%29%29%2Aw-9%2F5=0.
Removed extra sign in front of -2
It becomes %28-highlight_green%28+2+%29%29%2Aw-9%2F5=0.

Look at highlight_red%28+%28-highlight_red%28+2+%29%29%2Aw+%29-9%2F5=0.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes -highlight_green%28+2+%29%2Aw-9%2F5=0.

Look at highlight_red%28+-2%2Aw-9%2F5+%29=0.
Solved linear equation highlight_red%28+-2%2Aw-9%2F5=0+%29 equivalent to -2*w-1.8 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: w=-0.9.

Universal Simplifier and Solver


Done!

Hope this helps!