2m^2+3m-77=0

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Solution for 2m^2+3m-77=0 equation: 


Simplifying
2m2 + 3m + -77 = 0

Reorder the terms:
-77 + 3m + 2m2 = 0

Solving
-77 + 3m + 2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-7 + -1m)(11 + -2m) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(11 + -2m)' equal to zero and attempt to solve:

Simplifying
11 + -2m = 0

Solving
11 + -2m = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2m = 0 + -11
-2m = 0 + -11

Combine like terms: 0 + -11 = -11
-2m = -11

Divide each side by '-2'.
m = 5.5

Simplifying
m = 5.5
Solution
m = {-7, 5.5}

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