3m+(2m^2+6m)=

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Solution for 3m+(2m^2+6m)= equation:


Simplifying
3m + (2m2 + 6m) = 0

Reorder the terms:
3m + (6m + 2m2) = 0

Remove parenthesis around (6m + 2m2)
3m + 6m + 2m2 = 0

Combine like terms: 3m + 6m = 9m
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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