5p^2-34p+24=0

Solution for 5p^2-34p+24=0 equation:

Simplifying
5p2 + -34p + 24 = 0

Reorder the terms:
24 + -34p + 5p2 = 0

Solving
24 + -34p + 5p2 = 0

Solving for variable 'p'.

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

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

Simplifying
4 + -5p = 0

Solving
4 + -5p = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5p = 0 + -4
-5p = 0 + -4

Combine like terms: 0 + -4 = -4
-5p = -4

Divide each side by '-5'.
p = 0.8

Simplifying
p = 0.8
Subproblem 2
Set the factor '(6 + -1p)' equal to zero and attempt to solve:

Simplifying
6 + -1p = 0

Solving
6 + -1p = 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 + -1p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1p = 0 + -6
-1p = 0 + -6

Combine like terms: 0 + -6 = -6
-1p = -6

Divide each side by '-1'.
p = 6

Simplifying
p = 6
Solution
p = {0.8, 6}