-8m[3(11-4m)+2]=9m

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Solution for -8m[3(11-4m)+2]=9m equation: 


Simplifying
-8m[3(11 + -4m) + 2] = 9m
-8m[(11 * 3 + -4m * 3) + 2] = 9m
-8m[(33 + -12m) + 2] = 9m

Reorder the terms:
-8m[33 + 2 + -12m] = 9m

Combine like terms: 33 + 2 = 35
-8m[35 + -12m] = 9m
[35 * -8m + -12m * -8m] = 9m
[-280m + 96m2] = 9m

Solving
-280m + 96m2 = 9m

Solving for variable 'm'.

Reorder the terms:
-280m + -9m + 96m2 = 9m + -9m

Combine like terms: -280m + -9m = -289m
-289m + 96m2 = 9m + -9m

Combine like terms: 9m + -9m = 0
-289m + 96m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-289 + 96m) = 0


Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
Set the factor '(-289 + 96m)' equal to zero and attempt to solve:

Simplifying
-289 + 96m = 0

Solving
-289 + 96m = 0

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

Add '289' to each side of the equation.
-289 + 289 + 96m = 0 + 289

Combine like terms: -289 + 289 = 0
0 + 96m = 0 + 289
96m = 0 + 289

Combine like terms: 0 + 289 = 289
96m = 289

Divide each side by '96'.
m = 3.010416667

Simplifying
m = 3.010416667
Solution
m = {0, 3.010416667}

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