0=13m+28-6m^2

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Solution for 0=13m+28-6m^2 equation: 


Simplifying
0 = 13m + 28 + -6m2

Reorder the terms:
0 = 28 + 13m + -6m2

Solving
0 = 28 + 13m + -6m2

Solving for variable 'm'.

Combine like terms: 0 + -28 = -28
-28 + -13m + 6m2 = 28 + 13m + -6m2 + -28 + -13m + 6m2

Reorder the terms:
-28 + -13m + 6m2 = 28 + -28 + 13m + -13m + -6m2 + 6m2

Combine like terms: 28 + -28 = 0
-28 + -13m + 6m2 = 0 + 13m + -13m + -6m2 + 6m2
-28 + -13m + 6m2 = 13m + -13m + -6m2 + 6m2

Combine like terms: 13m + -13m = 0
-28 + -13m + 6m2 = 0 + -6m2 + 6m2
-28 + -13m + 6m2 = -6m2 + 6m2

Combine like terms: -6m2 + 6m2 = 0
-28 + -13m + 6m2 = 0

Factor a trinomial.
(-4 + -3m)(7 + -2m) = 0


Subproblem 1
Set the factor '(-4 + -3m)' equal to zero and attempt to solve:

Simplifying
-4 + -3m = 0

Solving
-4 + -3m = 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 + -3m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3m = 0 + 4
-3m = 0 + 4

Combine like terms: 0 + 4 = 4
-3m = 4

Divide each side by '-3'.
m = -1.333333333

Simplifying
m = -1.333333333

Subproblem 2
Set the factor '(7 + -2m)' equal to zero and attempt to solve:

Simplifying
7 + -2m = 0

Solving
7 + -2m = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2m = 0 + -7
-2m = 0 + -7

Combine like terms: 0 + -7 = -7
-2m = -7

Divide each side by '-2'.
m = 3.5

Simplifying
m = 3.5
Solution
m = {-1.333333333, 3.5}

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