SOLUTION: (2m-7)^2-8(2m-7)+12=0

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Question 34500: (2m-7)^2-8(2m-7)+12=0
Answer by lyra(94) 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: m=6.5,m=4.5.
  • Graphical form: Equation %282m-7%29%5E2-8%2A%282m-7%29%2B12=0 was fully solved.
  • Text form: (2m-7)^2-8*(2m-7)+12=0 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%282m-7%29%5E2-8%2A%282m-7%29%2B12=0+%29
    For tutors: simplify_cartoon( (2m-7)^2-8*(2m-7)+12=0 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at %282%2Am-7%29%5E2-highlight_red%28+8%2A%282%2Am-7%29+%29%2B12=0.
Expanded term -8 by using associative property on %282%2Am-7%29
It becomes %282%2Am-7%29%5E2-highlight_green%28+8%2A2%2Am+%29%2Bhighlight_green%28+8%2A7+%29%2B12=0.
Look at %282%2Am-7%29%5E2-highlight_red%28+8+%29%2Ahighlight_red%28+2+%29%2Am%2B8%2A7%2B12=0.
Multiplied numerator integers
It becomes %282%2Am-7%29%5E2-highlight_green%28+16+%29%2Am%2B8%2A7%2B12=0.
Look at %282%2Am-7%29%5E2-16%2Am%2Bhighlight_red%28+8+%29%2Ahighlight_red%28+7+%29%2B12=0.
Multiplied numerator integers
It becomes %282%2Am-7%29%5E2-16%2Am%2Bhighlight_green%28+56+%29%2B12=0.
Look at %282%2Am-7%29%5E2-16%2Am%2Bhighlight_red%28+56+%29%2Bhighlight_red%28+12+%29=0.
Added fractions or integers together
It becomes %282%2Am-7%29%5E2-16%2Am%2Bhighlight_green%28+68+%29=0.
Look at highlight_red%28+%282%2Am-7%29%5E2-16%2Am%2B68+%29=0.
Equation highlight_red%28+%282%2Am-7%29%5E2-16%2Am%2B68=0+%29 is a quadratic equation: 4*m^2-44*m+117 =0, and has solutions 6.5,4.5
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: m=6.5,m=4.5.

Universal Simplifier and Solver


Done!


Hope this helps,
lyra