2m^2-5m-63=0

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Solution for 2m^2-5m-63=0 equation: 


Simplifying
2m2 + -5m + -63 = 0

Reorder the terms:
-63 + -5m + 2m2 = 0

Solving
-63 + -5m + 2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-9 + -2m)(7 + -1m) = 0


Subproblem 1
Set the factor '(-9 + -2m)' equal to zero and attempt to solve:

Simplifying
-9 + -2m = 0

Solving
-9 + -2m = 0

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

Add '9' to each side of the equation.
-9 + 9 + -2m = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2m = 0 + 9
-2m = 0 + 9

Combine like terms: 0 + 9 = 9
-2m = 9

Divide each side by '-2'.
m = -4.5

Simplifying
m = -4.5

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 = {-4.5, 7}

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