(4m+2)(6m-4)=0

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Solution for (4m+2)(6m-4)=0 equation: 


Simplifying
(4m + 2)(6m + -4) = 0

Reorder the terms:
(2 + 4m)(6m + -4) = 0

Reorder the terms:
(2 + 4m)(-4 + 6m) = 0

Multiply (2 + 4m) * (-4 + 6m)
(2(-4 + 6m) + 4m * (-4 + 6m)) = 0
((-4 * 2 + 6m * 2) + 4m * (-4 + 6m)) = 0
((-8 + 12m) + 4m * (-4 + 6m)) = 0
(-8 + 12m + (-4 * 4m + 6m * 4m)) = 0
(-8 + 12m + (-16m + 24m2)) = 0

Combine like terms: 12m + -16m = -4m
(-8 + -4m + 24m2) = 0

Solving
-8 + -4m + 24m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -1m + 6m2) = 0

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

Ignore the factor 4.

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 '(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 = {-0.5, 0.6666666667}

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