8p^2+21p-9=0

Solution for 8p^2+21p-9=0 equation:

Simplifying
8p2 + 21p + -9 = 0

Reorder the terms:
-9 + 21p + 8p2 = 0

Solving
-9 + 21p + 8p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-3 + -1p)(3 + -8p) = 0

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

Simplifying
-3 + -1p = 0

Solving
-3 + -1p = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1p = 0 + 3
-1p = 0 + 3

Combine like terms: 0 + 3 = 3
-1p = 3

Divide each side by '-1'.
p = -3

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

Simplifying
3 + -8p = 0

Solving
3 + -8p = 0

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

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

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

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

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

Simplifying
p = 0.375
Solution
p = {-3, 0.375}