(m+9)(m-16)=0

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Solution for (m+9)(m-16)=0 equation: 


Simplifying
(m + 9)(m + -16) = 0

Reorder the terms:
(9 + m)(m + -16) = 0

Reorder the terms:
(9 + m)(-16 + m) = 0

Multiply (9 + m) * (-16 + m)
(9(-16 + m) + m(-16 + m)) = 0
((-16 * 9 + m * 9) + m(-16 + m)) = 0
((-144 + 9m) + m(-16 + m)) = 0
(-144 + 9m + (-16 * m + m * m)) = 0
(-144 + 9m + (-16m + m2)) = 0

Combine like terms: 9m + -16m = -7m
(-144 + -7m + m2) = 0

Solving
-144 + -7m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-9 + -1m)(16 + -1m) = 0


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

Simplifying
-9 + -1m = 0

Solving
-9 + -1m = 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 + -1m = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1m = 0 + 9
-1m = 0 + 9

Combine like terms: 0 + 9 = 9
-1m = 9

Divide each side by '-1'.
m = -9

Simplifying
m = -9

Subproblem 2
Set the factor '(16 + -1m)' equal to zero and attempt to solve:

Simplifying
16 + -1m = 0

Solving
16 + -1m = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1m = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1m = 0 + -16
-1m = 0 + -16

Combine like terms: 0 + -16 = -16
-1m = -16

Divide each side by '-1'.
m = 16

Simplifying
m = 16
Solution
m = {-9, 16}

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