3m(m-5)-(2m*2m-m)=

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Solution for 3m(m-5)-(2m*2m-m)= equation: 


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

Reorder the terms:
3m(-5 + m) + -1(2m * 2m + -1m) = 0
(-5 * 3m + m * 3m) + -1(2m * 2m + -1m) = 0
(-15m + 3m2) + -1(2m * 2m + -1m) = 0

Reorder the terms for easier multiplication:
-15m + 3m2 + -1(2 * 2m * m + -1m) = 0

Multiply 2 * 2
-15m + 3m2 + -1(4m * m + -1m) = 0

Multiply m * m
-15m + 3m2 + -1(4m2 + -1m) = 0

Reorder the terms:
-15m + 3m2 + -1(-1m + 4m2) = 0
-15m + 3m2 + (-1m * -1 + 4m2 * -1) = 0
-15m + 3m2 + (1m + -4m2) = 0

Reorder the terms:
-15m + 1m + 3m2 + -4m2 = 0

Combine like terms: -15m + 1m = -14m
-14m + 3m2 + -4m2 = 0

Combine like terms: 3m2 + -4m2 = -1m2
-14m + -1m2 = 0

Solving
-14m + -1m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '-1m'.
-1m(14 + m) = 0

Ignore the factor -1.

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 '(14 + m)' equal to zero and attempt to solve:

Simplifying
14 + m = 0

Solving
14 + m = 0

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

Add '-14' to each side of the equation.
14 + -14 + m = 0 + -14

Combine like terms: 14 + -14 = 0
0 + m = 0 + -14
m = 0 + -14

Combine like terms: 0 + -14 = -14
m = -14

Simplifying
m = -14
Solution
m = {0, -14}

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