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

Algebra.Com
Question 34500: (2m-7)^2-8(2m-7)+12=0
Answer by lyra(94)   (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 was fully solved.
  • Text form: (2m-7)^2-8*(2m-7)+12=0 simplifies to 0=0
  • Cartoon (animation) form:
    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 .
Expanded term -8 by using associative property on %282%2Am-7%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
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 .
Result:
This is an equation! Solutions: m=6.5,m=4.5.

Universal Simplifier and Solver


Done!


Hope this helps,
lyra

RELATED QUESTIONS

5(2m+7)+2=7 (answered by uknouluvme89)
9-2m/7=19 (answered by chripchrip)
7(2m+6)+8m= (answered by jim_thompson5910)
9-2m/7=19 (answered by checkley75)
9-2m/7=19 (answered by mangopeeler07)
9 -2m/7 =... (answered by richwmiller)
4-2m>7-3m (answered by rfer)
3/2m =... (answered by xdragonfight)
2m-7>9m+35 (answered by MathLover1)