24p^2+44p-28=0

Solution for 24p^2+44p-28=0 equation:

Simplifying
24p2 + 44p + -28 = 0

Reorder the terms:
-28 + 44p + 24p2 = 0

Solving
-28 + 44p + 24p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-7 + 11p + 6p2) = 0

Factor a trinomial.
4((-7 + -3p)(1 + -2p)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-7 + -3p)' equal to zero and attempt to solve:

Simplifying
-7 + -3p = 0

Solving
-7 + -3p = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3p = 0 + 7

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

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

Divide each side by '-3'.
p = -2.333333333

Simplifying
p = -2.333333333
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 = {-2.333333333, 0.5}