(4m+8)(m+1)=48

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Solution for (4m+8)(m+1)=48 equation: 


Simplifying
(4m + 8)(m + 1) = 48

Reorder the terms:
(8 + 4m)(m + 1) = 48

Reorder the terms:
(8 + 4m)(1 + m) = 48

Multiply (8 + 4m) * (1 + m)
(8(1 + m) + 4m * (1 + m)) = 48
((1 * 8 + m * 8) + 4m * (1 + m)) = 48
((8 + 8m) + 4m * (1 + m)) = 48
(8 + 8m + (1 * 4m + m * 4m)) = 48
(8 + 8m + (4m + 4m2)) = 48

Combine like terms: 8m + 4m = 12m
(8 + 12m + 4m2) = 48

Solving
8 + 12m + 4m2 = 48

Solving for variable 'm'.

Reorder the terms:
8 + -48 + 12m + 4m2 = 48 + -48

Combine like terms: 8 + -48 = -40
-40 + 12m + 4m2 = 48 + -48

Combine like terms: 48 + -48 = 0
-40 + 12m + 4m2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-10 + 3m + m2) = 0

Factor a trinomial.
4((-5 + -1m)(2 + -1m)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-5 + -1m)' equal to zero and attempt to solve:

Simplifying
-5 + -1m = 0

Solving
-5 + -1m = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1m = 0 + 5
-1m = 0 + 5

Combine like terms: 0 + 5 = 5
-1m = 5

Divide each side by '-1'.
m = -5

Simplifying
m = -5

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 = {-5, 2}

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