(m+3)(m-4)=44

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Solution for (m+3)(m-4)=44 equation: 


Simplifying
(m + 3)(m + -4) = 44

Reorder the terms:
(3 + m)(m + -4) = 44

Reorder the terms:
(3 + m)(-4 + m) = 44

Multiply (3 + m) * (-4 + m)
(3(-4 + m) + m(-4 + m)) = 44
((-4 * 3 + m * 3) + m(-4 + m)) = 44
((-12 + 3m) + m(-4 + m)) = 44
(-12 + 3m + (-4 * m + m * m)) = 44
(-12 + 3m + (-4m + m2)) = 44

Combine like terms: 3m + -4m = -1m
(-12 + -1m + m2) = 44

Solving
-12 + -1m + m2 = 44

Solving for variable 'm'.

Reorder the terms:
-12 + -44 + -1m + m2 = 44 + -44

Combine like terms: -12 + -44 = -56
-56 + -1m + m2 = 44 + -44

Combine like terms: 44 + -44 = 0
-56 + -1m + m2 = 0

Factor a trinomial.
(-7 + -1m)(8 + -1m) = 0


Subproblem 1
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

Subproblem 2
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
Solution
m = {-7, 8}

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