3m^2-40m+100=0

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Solution for 3m^2-40m+100=0 equation: 


Simplifying
3m2 + -40m + 100 = 0

Reorder the terms:
100 + -40m + 3m2 = 0

Solving
100 + -40m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(10 + -3m)(10 + -1m) = 0


Subproblem 1
Set the factor '(10 + -3m)' equal to zero and attempt to solve:

Simplifying
10 + -3m = 0

Solving
10 + -3m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + -3m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3m = 0 + -10
-3m = 0 + -10

Combine like terms: 0 + -10 = -10
-3m = -10

Divide each side by '-3'.
m = 3.333333333

Simplifying
m = 3.333333333

Subproblem 2
Set the factor '(10 + -1m)' equal to zero and attempt to solve:

Simplifying
10 + -1m = 0

Solving
10 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + -1m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1m = 0 + -10
-1m = 0 + -10

Combine like terms: 0 + -10 = -10
-1m = -10

Divide each side by '-1'.
m = 10

Simplifying
m = 10
Solution
m = {3.333333333, 10}

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