7m^2+24m+15=6

Solution for 7m^2+24m+15=6 equation:

Simplifying
7m2 + 24m + 15 = 6

Reorder the terms:
15 + 24m + 7m2 = 6

Solving
15 + 24m + 7m2 = 6

Solving for variable 'm'.

Reorder the terms:
15 + -6 + 24m + 7m2 = 6 + -6

Combine like terms: 15 + -6 = 9
9 + 24m + 7m2 = 6 + -6

Combine like terms: 6 + -6 = 0
9 + 24m + 7m2 = 0

Factor a trinomial.
(3 + m)(3 + 7m) = 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 '(3 + 7m)' equal to zero and attempt to solve:

Simplifying
3 + 7m = 0

Solving
3 + 7m = 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 + 7m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7m = 0 + -3
7m = 0 + -3

Combine like terms: 0 + -3 = -3
7m = -3

Divide each side by '7'.
m = -0.4285714286

Simplifying
m = -0.4285714286
Solution
m = {-3, -0.4285714286}