m(m-14)+5(m-5)=-39

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Solution for m(m-14)+5(m-5)=-39 equation: 


Simplifying
m(m + -14) + 5(m + -5) = -39

Reorder the terms:
m(-14 + m) + 5(m + -5) = -39
(-14 * m + m * m) + 5(m + -5) = -39
(-14m + m2) + 5(m + -5) = -39

Reorder the terms:
-14m + m2 + 5(-5 + m) = -39
-14m + m2 + (-5 * 5 + m * 5) = -39
-14m + m2 + (-25 + 5m) = -39

Reorder the terms:
-25 + -14m + 5m + m2 = -39

Combine like terms: -14m + 5m = -9m
-25 + -9m + m2 = -39

Solving
-25 + -9m + m2 = -39

Solving for variable 'm'.

Reorder the terms:
-25 + 39 + -9m + m2 = -39 + 39

Combine like terms: -25 + 39 = 14
14 + -9m + m2 = -39 + 39

Combine like terms: -39 + 39 = 0
14 + -9m + m2 = 0

Factor a trinomial.
(2 + -1m)(7 + -1m) = 0


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

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2

Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve:

Simplifying
7 + -1m = 0

Solving
7 + -1m = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1m = 0 + -7
-1m = 0 + -7

Combine like terms: 0 + -7 = -7
-1m = -7

Divide each side by '-1'.
m = 7

Simplifying
m = 7
Solution
m = {2, 7}

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