8p^2+7p-1=0

Solution for 8p^2+7p-1=0 equation:

Simplifying
8p2 + 7p + -1 = 0

Reorder the terms:
-1 + 7p + 8p2 = 0

Solving
-1 + 7p + 8p2 = 0

Solving for variable 'p'.

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

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

Simplifying
-1 + -1p = 0

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

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

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

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

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

Simplifying
1 + -8p = 0

Solving
1 + -8p = 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 + -8p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8p = 0 + -1
-8p = 0 + -1

Combine like terms: 0 + -1 = -1
-8p = -1

Divide each side by '-8'.
p = 0.125

Simplifying
p = 0.125
Solution
p = {-1, 0.125}