2m^2+9m+7=7

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Solution for 2m^2+9m+7=7 equation: 


Simplifying
2m2 + 9m + 7 = 7

Reorder the terms:
7 + 9m + 2m2 = 7

Add '-7' to each side of the equation.
7 + 9m + -7 + 2m2 = 7 + -7

Reorder the terms:
7 + -7 + 9m + 2m2 = 7 + -7

Combine like terms: 7 + -7 = 0
0 + 9m + 2m2 = 7 + -7
9m + 2m2 = 7 + -7

Combine like terms: 7 + -7 = 0
9m + 2m2 = 0

Solving
9m + 2m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(9 + 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 '(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
Solution
m = {0, -4.5}

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