6m^2+12m-5=5+m

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Solution for 6m^2+12m-5=5+m equation: 


Simplifying
6m2 + 12m + -5 = 5 + m

Reorder the terms:
-5 + 12m + 6m2 = 5 + m

Solving
-5 + 12m + 6m2 = 5 + m

Solving for variable 'm'.

Reorder the terms:
-5 + -5 + 12m + -1m + 6m2 = 5 + m + -5 + -1m

Combine like terms: -5 + -5 = -10
-10 + 12m + -1m + 6m2 = 5 + m + -5 + -1m

Combine like terms: 12m + -1m = 11m
-10 + 11m + 6m2 = 5 + m + -5 + -1m

Reorder the terms:
-10 + 11m + 6m2 = 5 + -5 + m + -1m

Combine like terms: 5 + -5 = 0
-10 + 11m + 6m2 = 0 + m + -1m
-10 + 11m + 6m2 = m + -1m

Combine like terms: m + -1m = 0
-10 + 11m + 6m2 = 0

Factor a trinomial.
(-5 + -2m)(2 + -3m) = 0


Subproblem 1
Set the factor '(-5 + -2m)' equal to zero and attempt to solve:

Simplifying
-5 + -2m = 0

Solving
-5 + -2m = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2m = 0 + 5
-2m = 0 + 5

Combine like terms: 0 + 5 = 5
-2m = 5

Divide each side by '-2'.
m = -2.5

Simplifying
m = -2.5

Subproblem 2
Set the factor '(2 + -3m)' equal to zero and attempt to solve:

Simplifying
2 + -3m = 0

Solving
2 + -3m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3m = 0 + -2
-3m = 0 + -2

Combine like terms: 0 + -2 = -2
-3m = -2

Divide each side by '-3'.
m = 0.6666666667

Simplifying
m = 0.6666666667
Solution
m = {-2.5, 0.6666666667}

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