8p^2-5p-6=-3

Solution for 8p^2-5p-6=-3 equation:

Simplifying
8p2 + -5p + -6 = -3

Reorder the terms:
-6 + -5p + 8p2 = -3

Solving
-6 + -5p + 8p2 = -3

Solving for variable 'p'.

Reorder the terms:
-6 + 3 + -5p + 8p2 = -3 + 3

Combine like terms: -6 + 3 = -3
-3 + -5p + 8p2 = -3 + 3

Combine like terms: -3 + 3 = 0
-3 + -5p + 8p2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
p = {-0.375, 1}