m(m-5)+m=2m(m-6)+16

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Solution for m(m-5)+m=2m(m-6)+16 equation: 


Simplifying
m(m + -5) + m = 2m(m + -6) + 16

Reorder the terms:
m(-5 + m) + m = 2m(m + -6) + 16
(-5 * m + m * m) + m = 2m(m + -6) + 16
(-5m + m2) + m = 2m(m + -6) + 16

Reorder the terms:
-5m + m + m2 = 2m(m + -6) + 16

Combine like terms: -5m + m = -4m
-4m + m2 = 2m(m + -6) + 16

Reorder the terms:
-4m + m2 = 2m(-6 + m) + 16
-4m + m2 = (-6 * 2m + m * 2m) + 16
-4m + m2 = (-12m + 2m2) + 16

Reorder the terms:
-4m + m2 = 16 + -12m + 2m2

Solving
-4m + m2 = 16 + -12m + 2m2

Solving for variable 'm'.

Reorder the terms:
-16 + -4m + 12m + m2 + -2m2 = 16 + -12m + 2m2 + -16 + 12m + -2m2

Combine like terms: -4m + 12m = 8m
-16 + 8m + m2 + -2m2 = 16 + -12m + 2m2 + -16 + 12m + -2m2

Combine like terms: m2 + -2m2 = -1m2
-16 + 8m + -1m2 = 16 + -12m + 2m2 + -16 + 12m + -2m2

Reorder the terms:
-16 + 8m + -1m2 = 16 + -16 + -12m + 12m + 2m2 + -2m2

Combine like terms: 16 + -16 = 0
-16 + 8m + -1m2 = 0 + -12m + 12m + 2m2 + -2m2
-16 + 8m + -1m2 = -12m + 12m + 2m2 + -2m2

Combine like terms: -12m + 12m = 0
-16 + 8m + -1m2 = 0 + 2m2 + -2m2
-16 + 8m + -1m2 = 2m2 + -2m2

Combine like terms: 2m2 + -2m2 = 0
-16 + 8m + -1m2 = 0

Factor a trinomial.
(-4 + m)(4 + -1m) = 0


Subproblem 1
Set the factor '(-4 + m)' equal to zero and attempt to solve:

Simplifying
-4 + m = 0

Solving
-4 + m = 0

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

Add '4' to each side of the equation.
-4 + 4 + m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + m = 0 + 4
m = 0 + 4

Combine like terms: 0 + 4 = 4
m = 4

Simplifying
m = 4

Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve:

Simplifying
4 + -1m = 0

Solving
4 + -1m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1m = 0 + -4
-1m = 0 + -4

Combine like terms: 0 + -4 = -4
-1m = -4

Divide each side by '-1'.
m = 4

Simplifying
m = 4
Solution
m = {4, 4}

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