24a^2+25a+6=0

Solution for 24a^2+25a+6=0 equation:

Simplifying
24a2 + 25a + 6 = 0

Reorder the terms:
6 + 25a + 24a2 = 0

Solving
6 + 25a + 24a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2 + 3a)(3 + 8a) = 0

Subproblem 1
Set the factor '(2 + 3a)' equal to zero and attempt to solve:

Simplifying
2 + 3a = 0

Solving
2 + 3a = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3a = 0 + -2
3a = 0 + -2

Combine like terms: 0 + -2 = -2
3a = -2

Divide each side by '3'.
a = -0.6666666667

Simplifying
a = -0.6666666667
Subproblem 2
Set the factor '(3 + 8a)' equal to zero and attempt to solve:

Simplifying
3 + 8a = 0

Solving
3 + 8a = 0

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

Add '-3' to each side of the equation.
3 + -3 + 8a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8a = 0 + -3
8a = 0 + -3

Combine like terms: 0 + -3 = -3
8a = -3

Divide each side by '8'.
a = -0.375

Simplifying
a = -0.375
Solution
a = {-0.6666666667, -0.375}