-8m[2(10-5m)+15]=9m

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Solution for -8m[2(10-5m)+15]=9m equation: 


Simplifying
-8m[2(10 + -5m) + 15] = 9m
-8m[(10 * 2 + -5m * 2) + 15] = 9m
-8m[(20 + -10m) + 15] = 9m

Reorder the terms:
-8m[20 + 15 + -10m] = 9m

Combine like terms: 20 + 15 = 35
-8m[35 + -10m] = 9m
[35 * -8m + -10m * -8m] = 9m
[-280m + 80m2] = 9m

Solving
-280m + 80m2 = 9m

Solving for variable 'm'.

Reorder the terms:
-280m + -9m + 80m2 = 9m + -9m

Combine like terms: -280m + -9m = -289m
-289m + 80m2 = 9m + -9m

Combine like terms: 9m + -9m = 0
-289m + 80m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-289 + 80m) = 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 + 80m)' equal to zero and attempt to solve:

Simplifying
-289 + 80m = 0

Solving
-289 + 80m = 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 + 80m = 0 + 289

Combine like terms: -289 + 289 = 0
0 + 80m = 0 + 289
80m = 0 + 289

Combine like terms: 0 + 289 = 289
80m = 289

Divide each side by '80'.
m = 3.6125

Simplifying
m = 3.6125
Solution
m = {0, 3.6125}

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