SOLUTION: I am suppose to factor completely but am unsure how to do 75-60m+12m^2

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Question 945674: I am suppose to factor completely but am unsure how to do
75-60m+12m^2

Found 4 solutions by josgarithmetic, lwsshak3, TimothyLamb, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Each coefficient has a factor of 3.



From there you can make trials of different combinations, or check Discriminant.
...The discriminant is 100, a perfect square. This indicates that the quadratic factor should be factorable.

(3m____5)(m_____5)
This should work if both constant terms are negative or "subtracted".

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
I am suppose to factor completely but am unsure how to do
75-60m+12m^2
***
12m^2-60m+75=(2m-5)(6m-15)

Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
75 - 60m + 12m^2
12m^2 - 60m + 75 = 0
12mm - 60m + 75 = 0
---
the above quadratic equation is in standard form, with a=12, b=-60 and c=75
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
12 -60 75
into this solver: http://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
---
m = 2.5
m = 2.5
---
answer:
(m - 2.5)(m - 2.5)
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now, solve by a different method: completing the square:
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(12mm - 60m + 75 = 0)/12
mm - 5m + 6.25 = 0
mm - 5m + (5/2)(5/2) + 6.25 = (5/2)(5/2)
mm - 5m + (2.5)*(2.5) = (2.5)*(2.5) - 6.25
mm - 5m + (2.5)*(2.5) = 6.25 - 6.25
mm - 5m + (2.5)*(2.5) = 0
---
answer:
(m - 2.5)(m - 2.5)
---
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Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

I am suppose to factor completely but am unsure how to do
75-60m+12m^2


------- Factoring out GCF, 3

3[5(5 - 2m) - 2m(5 - 2m)]
, or
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