factorize 11m^2 -54 m+63
Answers
Answer:
Simplifying
11m2 + -54m + 63 = 0
Reorder the terms:
63 + -54m + 11m2 = 0
Solving
63 + -54m + 11m2 = 0
Solving for variable 'm'.
Factor a trinomial.
(21 + -11m)(3 + -1m) = 0
Subproblem 1
Set the factor '(21 + -11m)' equal to zero and attempt to solve:
Simplifying
21 + -11m = 0
Solving
21 + -11m = 0
Move all terms containing m to the left, all other terms to the right.
Add '-21' to each side of the equation.
21 + -21 + -11m = 0 + -21
Combine like terms: 21 + -21 = 0
0 + -11m = 0 + -21
-11m = 0 + -21
Combine like terms: 0 + -21 = -21
-11m = -21
Divide each side by '-11'.
m = 1.909090909
Simplifying
m = 1.909090909
Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:
Simplifying
3 + -1m = 0
Solving
3 + -1m = 0
Move all terms containing m to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -1m = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3
Combine like terms: 0 + -3 = -3
-1m = -3
Divide each side by '-1'.
m = 3
Simplifying
m = 3
Solution
m = {1.909090909, 3}
Step-by-step explanation:
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