6p^2-13p-8=0

Solution for 6p^2-13p-8=0 equation:

Simplifying
6p2 + -13p + -8 = 0

Reorder the terms:
-8 + -13p + 6p2 = 0

Solving
-8 + -13p + 6p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-1 + -2p)(8 + -3p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(8 + -3p)' equal to zero and attempt to solve:

Simplifying
8 + -3p = 0

Solving
8 + -3p = 0

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

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

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

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

Divide each side by '-3'.
p = 2.666666667

Simplifying
p = 2.666666667
Solution
p = {-0.5, 2.666666667}