-5m(-4+9m)-2m(4+5m)=

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Solution for -5m(-4+9m)-2m(4+5m)= equation: 


Simplifying
-5m(-4 + 9m) + -2m(4 + 5m) = 0
(-4 * -5m + 9m * -5m) + -2m(4 + 5m) = 0
(20m + -45m2) + -2m(4 + 5m) = 0
20m + -45m2 + (4 * -2m + 5m * -2m) = 0
20m + -45m2 + (-8m + -10m2) = 0

Reorder the terms:
20m + -8m + -45m2 + -10m2 = 0

Combine like terms: 20m + -8m = 12m
12m + -45m2 + -10m2 = 0

Combine like terms: -45m2 + -10m2 = -55m2
12m + -55m2 = 0

Solving
12m + -55m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(12 + -55m) = 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 '(12 + -55m)' equal to zero and attempt to solve:

Simplifying
12 + -55m = 0

Solving
12 + -55m = 0

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

Add '-12' to each side of the equation.
12 + -12 + -55m = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -55m = 0 + -12
-55m = 0 + -12

Combine like terms: 0 + -12 = -12
-55m = -12

Divide each side by '-55'.
m = 0.2181818182

Simplifying
m = 0.2181818182
Solution
m = {0, 0.2181818182}

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