0=6p^2-p-1

Solution for 0=6p^2-p-1 equation:

Simplifying
0 = 6p2 + -1p + -1

Reorder the terms:
0 = -1 + -1p + 6p2

Solving
0 = -1 + -1p + 6p2

Solving for variable 'p'.

Combine like terms: 0 + 1 = 1
1 + p + -6p2 = -1 + -1p + 6p2 + 1 + p + -6p2

Reorder the terms:
1 + p + -6p2 = -1 + 1 + -1p + p + 6p2 + -6p2

Combine like terms: -1 + 1 = 0
1 + p + -6p2 = 0 + -1p + p + 6p2 + -6p2
1 + p + -6p2 = -1p + p + 6p2 + -6p2

Combine like terms: -1p + p = 0
1 + p + -6p2 = 0 + 6p2 + -6p2
1 + p + -6p2 = 6p2 + -6p2

Combine like terms: 6p2 + -6p2 = 0
1 + p + -6p2 = 0

Factor a trinomial.
(1 + -2p)(1 + 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 '(1 + 3p)' equal to zero and attempt to solve:

Simplifying
1 + 3p = 0

Solving
1 + 3p = 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 + 3p = 0 + -1

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

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

Divide each side by '3'.
p = -0.3333333333

Simplifying
p = -0.3333333333
Solution
p = {0.5, -0.3333333333}