2m*2(-3m+4m*2)-(3m)*3=

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


Simplifying
2m * 2(-3m + 4m * 2) + -1(3m) * 3 = 0

Reorder the terms for easier multiplication:
2m * 2(-3m + 4 * 2m) + -1(3m) * 3 = 0

Multiply 4 * 2
2m * 2(-3m + 8m) + -1(3m) * 3 = 0

Combine like terms: -3m + 8m = 5m
2m * 2(5m) + -1(3m) * 3 = 0

Remove parenthesis around (5m)
2m * 2 * 5m + -1(3m) * 3 = 0

Reorder the terms for easier multiplication:
2 * 2 * 5m * m + -1(3m) * 3 = 0

Multiply 2 * 2
4 * 5m * m + -1(3m) * 3 = 0

Multiply 4 * 5
20m * m + -1(3m) * 3 = 0

Multiply m * m
20m2 + -1(3m) * 3 = 0

Remove parenthesis around (3m)
20m2 + -1 * 3m * 3 = 0

Reorder the terms for easier multiplication:
20m2 + -1 * 3 * 3m = 0

Multiply -1 * 3
20m2 + -3 * 3m = 0

Multiply -3 * 3
20m2 + -9m = 0

Reorder the terms:
-9m + 20m2 = 0

Solving
-9m + 20m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-9 + 20m) = 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 '(-9 + 20m)' equal to zero and attempt to solve:

Simplifying
-9 + 20m = 0

Solving
-9 + 20m = 0

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

Add '9' to each side of the equation.
-9 + 9 + 20m = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 20m = 0 + 9
20m = 0 + 9

Combine like terms: 0 + 9 = 9
20m = 9

Divide each side by '20'.
m = 0.45

Simplifying
m = 0.45
Solution
m = {0, 0.45}

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