3M^2+14M+15=0

Solution for 3M^2+14M+15=0 equation:

Simplifying
3M2 + 14M + 15 = 0

Reorder the terms:
15 + 14M + 3M2 = 0

Solving
15 + 14M + 3M2 = 0

Solving for variable 'M'.

Factor a trinomial.
(3 + M)(5 + 3M) = 0

Subproblem 1
Set the factor '(3 + M)' equal to zero and attempt to solve:

Simplifying
3 + M = 0

Solving
3 + M = 0

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

Add '-3' to each side of the equation.
3 + -3 + M = 0 + -3

Combine like terms: 3 + -3 = 0
0 + M = 0 + -3
M = 0 + -3

Combine like terms: 0 + -3 = -3
M = -3

Simplifying
M = -3
Subproblem 2
Set the factor '(5 + 3M)' equal to zero and attempt to solve:

Simplifying
5 + 3M = 0

Solving
5 + 3M = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3M = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3M = 0 + -5
3M = 0 + -5

Combine like terms: 0 + -5 = -5
3M = -5

Divide each side by '3'.
M = -1.666666667

Simplifying
M = -1.666666667
Solution
M = {-3, -1.666666667}