40p^2+68p+24=0

Solution for 40p^2+68p+24=0 equation:

Simplifying
40p2 + 68p + 24 = 0

Reorder the terms:
24 + 68p + 40p2 = 0

Solving
24 + 68p + 40p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + 17p + 10p2) = 0

Factor a trinomial.
4((6 + 5p)(1 + 2p)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(6 + 5p)' equal to zero and attempt to solve:

Simplifying
6 + 5p = 0

Solving
6 + 5p = 0

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

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

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

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

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

Simplifying
p = -1.2
Subproblem 2
Set the factor '(1 + 2p)' equal to zero and attempt to solve:

Simplifying
1 + 2p = 0

Solving
1 + 2p = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2p = 0 + -1
2p = 0 + -1

Combine like terms: 0 + -1 = -1
2p = -1

Divide each side by '2'.
p = -0.5

Simplifying
p = -0.5
Solution
p = {-1.2, -0.5}