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

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Solution for (4m+2)(3m-8)=0 equation: 


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

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

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

Multiply (2 + 4m) * (-8 + 3m)
(2(-8 + 3m) + 4m * (-8 + 3m)) = 0
((-8 * 2 + 3m * 2) + 4m * (-8 + 3m)) = 0
((-16 + 6m) + 4m * (-8 + 3m)) = 0
(-16 + 6m + (-8 * 4m + 3m * 4m)) = 0
(-16 + 6m + (-32m + 12m2)) = 0

Combine like terms: 6m + -32m = -26m
(-16 + -26m + 12m2) = 0

Solving
-16 + -26m + 12m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + -13m + 6m2) = 0

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

Ignore the factor 2.

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

Simplifying
-1 + -2m = 0

Solving
-1 + -2m = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2m = 0 + 1
-2m = 0 + 1

Combine like terms: 0 + 1 = 1
-2m = 1

Divide each side by '-2'.
m = -0.5

Simplifying
m = -0.5

Subproblem 2
Set the factor '(8 + -3m)' equal to zero and attempt to solve:

Simplifying
8 + -3m = 0

Solving
8 + -3m = 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 + -3m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3m = 0 + -8
-3m = 0 + -8

Combine like terms: 0 + -8 = -8
-3m = -8

Divide each side by '-3'.
m = 2.666666667

Simplifying
m = 2.666666667
Solution
m = {-0.5, 2.666666667}

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