7m^2-47m-14=0

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Solution for 7m^2-47m-14=0 equation: 


Simplifying
7m2 + -47m + -14 = 0

Reorder the terms:
-14 + -47m + 7m2 = 0

Solving
-14 + -47m + 7m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-2 + -7m)(7 + -1m) = 0


Subproblem 1
Set the factor '(-2 + -7m)' equal to zero and attempt to solve:

Simplifying
-2 + -7m = 0

Solving
-2 + -7m = 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 + -7m = 0 + 2

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

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

Divide each side by '-7'.
m = -0.2857142857

Simplifying
m = -0.2857142857

Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve:

Simplifying
7 + -1m = 0

Solving
7 + -1m = 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 + -1m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1m = 0 + -7
-1m = 0 + -7

Combine like terms: 0 + -7 = -7
-1m = -7

Divide each side by '-1'.
m = 7

Simplifying
m = 7
Solution
m = {-0.2857142857, 7}

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