2m^2-7m-13=-13

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Solution for 2m^2-7m-13=-13 equation: 


Simplifying
2m2 + -7m + -13 = -13

Reorder the terms:
-13 + -7m + 2m2 = -13

Add '13' to each side of the equation.
-13 + -7m + 13 + 2m2 = -13 + 13

Reorder the terms:
-13 + 13 + -7m + 2m2 = -13 + 13

Combine like terms: -13 + 13 = 0
0 + -7m + 2m2 = -13 + 13
-7m + 2m2 = -13 + 13

Combine like terms: -13 + 13 = 0
-7m + 2m2 = 0

Solving
-7m + 2m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-7 + 2m) = 0


Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
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
Solution
m = {0, 3.5}

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