2m^2+7m+14m+49=

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Solution for 2m^2+7m+14m+49= equation:


Simplifying
2m2 + 7m + 14m + 49 = 0

Reorder the terms:
49 + 7m + 14m + 2m2 = 0

Combine like terms: 7m + 14m = 21m
49 + 21m + 2m2 = 0

Solving
49 + 21m + 2m2 = 0

Solving for variable 'm'.

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


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

Simplifying
7 + m = 0

Solving
7 + m = 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 + m = 0 + -7

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

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

Simplifying
m = -7

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

Simplifying
7 + 2m = 0

Solving
7 + 2m = 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 + 2m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2m = 0 + -7
2m = 0 + -7

Combine like terms: 0 + -7 = -7
2m = -7

Divide each side by '2'.
m = -3.5

Simplifying
m = -3.5
Solution
m = {-7, -3.5}

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