(4m+8)(6m-4)=

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Solution for (4m+8)(6m-4)= equation: 


Simplifying
(4m + 8)(6m + -4) = 0

Reorder the terms:
(8 + 4m)(6m + -4) = 0

Reorder the terms:
(8 + 4m)(-4 + 6m) = 0

Multiply (8 + 4m) * (-4 + 6m)
(8(-4 + 6m) + 4m * (-4 + 6m)) = 0
((-4 * 8 + 6m * 8) + 4m * (-4 + 6m)) = 0
((-32 + 48m) + 4m * (-4 + 6m)) = 0
(-32 + 48m + (-4 * 4m + 6m * 4m)) = 0
(-32 + 48m + (-16m + 24m2)) = 0

Combine like terms: 48m + -16m = 32m
(-32 + 32m + 24m2) = 0

Solving
-32 + 32m + 24m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-4 + 4m + 3m2) = 0

Factor a trinomial.
8((-2 + -1m)(2 + -3m)) = 0

Ignore the factor 8.

Subproblem 1
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

Subproblem 2
Set the factor '(2 + -3m)' equal to zero and attempt to solve:

Simplifying
2 + -3m = 0

Solving
2 + -3m = 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 + -3m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3m = 0 + -2
-3m = 0 + -2

Combine like terms: 0 + -2 = -2
-3m = -2

Divide each side by '-3'.
m = 0.6666666667

Simplifying
m = 0.6666666667
Solution
m = {-2, 0.6666666667}

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