SOLUTION: 8(z+7)-6 = z+60-10 Z=0

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Question 5981: 8(z+7)-6 = z+60-10
Z=0
Answer by ichudov(507) 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: z=0.
  • Graphical form: 8%2A%28z%2B7%29-6=z%2B60-10 simplifies to 7=0
  • Text form: 8*(z+7)-6=z+60-10 simplifies to 7=0
  • Cartoon (animation) form: simplify_cartoon%28+8%2A%28z%2B7%29-6=z%2B60-10+%29
    For tutors: simplify_cartoon( 8*(z+7)-6=z+60-10 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 8%2A%28z%2B7%29-6=z%2Bhighlight_red%28+60+%29-highlight_red%28+10+%29.
Added fractions or integers together
It becomes 8%2A%28z%2B7%29-6=z%2Bhighlight_green%28+50+%29.
Look at 8%2A%28z%2B7%29-6=highlight_red%28+z%2B50+%29.
Moved these terms to the left highlight_green%28+-z+%29,highlight_green%28+-50+%29
It becomes 8%2A%28z%2B7%29-6-highlight_green%28+z+%29-highlight_green%28+50+%29=0.
Look at 8%2A%28z%2B7%29-highlight_red%28+6+%29-z-highlight_red%28+50+%29=0.
Added fractions or integers together
It becomes 8%2A%28z%2B7%29%2Bhighlight_green%28+-56+%29-z=0.
Look at 8%2A%28z%2B7%29%2Bhighlight_red%28+-56+%29-z=0.
Moved -56 to the right of expression
It becomes 8%2A%28z%2B7%29-z%2Bhighlight_green%28+-56+%29=0.
Look at 8%2A%28z%2B7%29-z%2Bhighlight_red%28+-56+%29=0.
Removed extra sign in front of -56
It becomes 8%2A%28z%2B7%29-z-highlight_green%28+56+%29=0.
Look at highlight_red%28+8%2A%28z%2B7%29+%29-z-56=0.
Expanded term 8 by using associative property on %28z%2B7%29
It becomes highlight_green%28+8%2Az+%29%2Bhighlight_green%28+8%2A7+%29-z-56=0.
Look at 8%2Az%2Bhighlight_red%28+8+%29%2Ahighlight_red%28+7+%29-z-56=0.
Multiplied numerator integers
It becomes 8%2Az%2Bhighlight_green%28+56+%29-z-56=0.
Look at 8%2Az%2Bhighlight_red%28+56+%29-z-highlight_red%28+56+%29=0.
Added fractions or integers together
It becomes 8%2Az%2Bhighlight_green%28+0+%29-z=0.
Look at 8%2Az%2Bhighlight_red%28+0+%29-z=0.
Moved 0 to the right of expression
It becomes 8%2Az-z%2Bhighlight_green%28+0+%29=0.
Look at 8%2Az-z%2Bhighlight_red%28+0+%29=0.
Remove extraneous zero highlight_red%28+0+%29
It becomes 8%2Az-z=0.
Look at highlight_red%28+8%2Az+%29-highlight_red%28+z+%29=0.
Eliminated similar terms highlight_red%28+8%2Az+%29,highlight_red%28+-z+%29 replacing them with highlight_green%28+%288-1%29%2Az+%29
It becomes highlight_green%28+%288-1%29%2Az+%29=0.
Look at %28highlight_red%28+8+%29-highlight_red%28+1+%29%29%2Az=0.
Added fractions or integers together
It becomes %28highlight_green%28+7+%29%29%2Az=0.
Look at highlight_red%28+%28highlight_red%28+7+%29%29%2Az+%29=0.
Remove unneeded parentheses around factor highlight_red%28+7+%29
It becomes highlight_green%28+7+%29%2Az=0.
Look at 7%2Ahighlight_red%28+z+%29=0.
Notes known roots (z-(0))
Look at highlight_red%28+7%2A%28highlight_red%28+1+%29%29+%29=0.
Remove unneeded parentheses around factor highlight_red%28+1+%29
It becomes 7%2Ahighlight_green%28+1+%29=0.
Look at highlight_red%28+7+%29%2Ahighlight_red%28+1+%29=0.
Multiplied numerator integers
It becomes highlight_green%28+7+%29=0.
Result: 7=0
This is an equation! Solutions: z=0.

Universal Simplifier and Solver


Done!