18p^2-23p-6=0

Solution for 18p^2-23p-6=0 equation:

Simplifying
18p2 + -23p + -6 = 0

Reorder the terms:
-6 + -23p + 18p2 = 0

Solving
-6 + -23p + 18p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-2 + -9p)(3 + -2p) = 0

Subproblem 1
Set the factor '(-2 + -9p)' equal to zero and attempt to solve:

Simplifying
-2 + -9p = 0

Solving
-2 + -9p = 0

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

Add '2' to each side of the equation.
-2 + 2 + -9p = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -9p = 0 + 2
-9p = 0 + 2

Combine like terms: 0 + 2 = 2
-9p = 2

Divide each side by '-9'.
p = -0.2222222222

Simplifying
p = -0.2222222222
Subproblem 2
Set the factor '(3 + -2p)' equal to zero and attempt to solve:

Simplifying
3 + -2p = 0

Solving
3 + -2p = 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 + -2p = 0 + -3

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

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

Divide each side by '-2'.
p = 1.5

Simplifying
p = 1.5
Solution
p = {-0.2222222222, 1.5}