3p^2-17p-2=4

Solution for 3p^2-17p-2=4 equation:

Simplifying
3p2 + -17p + -2 = 4

Reorder the terms:
-2 + -17p + 3p2 = 4

Solving
-2 + -17p + 3p2 = 4

Solving for variable 'p'.

Reorder the terms:
-2 + -4 + -17p + 3p2 = 4 + -4

Combine like terms: -2 + -4 = -6
-6 + -17p + 3p2 = 4 + -4

Combine like terms: 4 + -4 = 0
-6 + -17p + 3p2 = 0

Factor a trinomial.
(-1 + -3p)(6 + -1p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -1p)' equal to zero and attempt to solve:

Simplifying
6 + -1p = 0

Solving
6 + -1p = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1p = 0 + -6

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

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

Divide each side by '-1'.
p = 6

Simplifying
p = 6
Solution
p = {-0.3333333333, 6}