4m^2+18m+14=0

Solution for 4m^2+18m+14=0 equation:

Simplifying
4m2 + 18m + 14 = 0

Reorder the terms:
14 + 18m + 4m2 = 0

Solving
14 + 18m + 4m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + 9m + 2m2) = 0

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

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

Simplifying
1 + m = 0

Solving
1 + m = 0

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

Add '-1' to each side of the equation.
1 + -1 + m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + m = 0 + -1
m = 0 + -1

Combine like terms: 0 + -1 = -1
m = -1

Simplifying
m = -1
Solution
m = {-3.5, -1}