6m^2+7m-49=0

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Solution for 6m^2+7m-49=0 equation: 


Simplifying
6m2 + 7m + -49 = 0

Reorder the terms:
-49 + 7m + 6m2 = 0

Solving
-49 + 7m + 6m2 = 0

Solving for variable 'm'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -3m)' equal to zero and attempt to solve:

Simplifying
7 + -3m = 0

Solving
7 + -3m = 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 + -3m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3m = 0 + -7
-3m = 0 + -7

Combine like terms: 0 + -7 = -7
-3m = -7

Divide each side by '-3'.
m = 2.333333333

Simplifying
m = 2.333333333
Solution
m = {-3.5, 2.333333333}

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