(2m+8)(4m-3)=

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Solution for (2m+8)(4m-3)= equation: 


Simplifying
(2m + 8)(4m + -3) = 0

Reorder the terms:
(8 + 2m)(4m + -3) = 0

Reorder the terms:
(8 + 2m)(-3 + 4m) = 0

Multiply (8 + 2m) * (-3 + 4m)
(8(-3 + 4m) + 2m * (-3 + 4m)) = 0
((-3 * 8 + 4m * 8) + 2m * (-3 + 4m)) = 0
((-24 + 32m) + 2m * (-3 + 4m)) = 0
(-24 + 32m + (-3 * 2m + 4m * 2m)) = 0
(-24 + 32m + (-6m + 8m2)) = 0

Combine like terms: 32m + -6m = 26m
(-24 + 26m + 8m2) = 0

Solving
-24 + 26m + 8m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + 13m + 4m2) = 0

Factor a trinomial.
2((-4 + -1m)(3 + -4m)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + -1m)' equal to zero and attempt to solve:

Simplifying
-4 + -1m = 0

Solving
-4 + -1m = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1m = 0 + 4
-1m = 0 + 4

Combine like terms: 0 + 4 = 4
-1m = 4

Divide each side by '-1'.
m = -4

Simplifying
m = -4

Subproblem 2
Set the factor '(3 + -4m)' equal to zero and attempt to solve:

Simplifying
3 + -4m = 0

Solving
3 + -4m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4m = 0 + -3
-4m = 0 + -3

Combine like terms: 0 + -3 = -3
-4m = -3

Divide each side by '-4'.
m = 0.75

Simplifying
m = 0.75
Solution
m = {-4, 0.75}

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