m^2+6m+9=25

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Solution for m^2+6m+9=25 equation: 


Simplifying
m2 + 6m + 9 = 25

Reorder the terms:
9 + 6m + m2 = 25

Solving
9 + 6m + m2 = 25

Solving for variable 'm'.

Reorder the terms:
9 + -25 + 6m + m2 = 25 + -25

Combine like terms: 9 + -25 = -16
-16 + 6m + m2 = 25 + -25

Combine like terms: 25 + -25 = 0
-16 + 6m + m2 = 0

Factor a trinomial.
(-8 + -1m)(2 + -1m) = 0


Subproblem 1
Set the factor '(-8 + -1m)' equal to zero and attempt to solve:

Simplifying
-8 + -1m = 0

Solving
-8 + -1m = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1m = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1m = 0 + 8
-1m = 0 + 8

Combine like terms: 0 + 8 = 8
-1m = 8

Divide each side by '-1'.
m = -8

Simplifying
m = -8

Subproblem 2
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
Solution
m = {-8, 2}

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