35m^2+62m+24=0

Solution for 35m^2+62m+24=0 equation:

Simplifying
35m2 + 62m + 24 = 0

Reorder the terms:
24 + 62m + 35m2 = 0

Solving
24 + 62m + 35m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(6 + 5m)(4 + 7m) = 0

Subproblem 1
Set the factor '(6 + 5m)' equal to zero and attempt to solve:

Simplifying
6 + 5m = 0

Solving
6 + 5m = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5m = 0 + -6
5m = 0 + -6

Combine like terms: 0 + -6 = -6
5m = -6

Divide each side by '5'.
m = -1.2

Simplifying
m = -1.2
Subproblem 2
Set the factor '(4 + 7m)' equal to zero and attempt to solve:

Simplifying
4 + 7m = 0

Solving
4 + 7m = 0

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

Add '-4' to each side of the equation.
4 + -4 + 7m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7m = 0 + -4
7m = 0 + -4

Combine like terms: 0 + -4 = -4
7m = -4

Divide each side by '7'.
m = -0.5714285714

Simplifying
m = -0.5714285714
Solution
m = {-1.2, -0.5714285714}