# m^2+10m+9=0

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## Solution for m^2+10m+9=0 equation:

Simplifying
m2 + 10m + 9 = 0

Reorder the terms:
9 + 10m + m2 = 0

Solving
9 + 10m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(9 + m)(1 + m) = 0

Subproblem 1Set the factor '(9 + m)' equal to zero and attempt to solve:

Simplifying
9 + m = 0

Solving
9 + m = 0

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

Add '-9' to each side of the equation.
9 + -9 + m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + m = 0 + -9
m = 0 + -9

Combine like terms: 0 + -9 = -9
m = -9

Simplifying
m = -9
Subproblem 2Set the factor '(1 + m)' equal to zero and attempt to solve:

Simplifying
1 + m = 0

Solving
1 + m = 0

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

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

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

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

Simplifying
m = -1Solutionm = {-9, -1}`