3p^2-5p-17=-5

Solution for 3p^2-5p-17=-5 equation:

Simplifying
3p2 + -5p + -17 = -5

Reorder the terms:
-17 + -5p + 3p2 = -5

Solving
-17 + -5p + 3p2 = -5

Solving for variable 'p'.

Reorder the terms:
-17 + 5 + -5p + 3p2 = -5 + 5

Combine like terms: -17 + 5 = -12
-12 + -5p + 3p2 = -5 + 5

Combine like terms: -5 + 5 = 0
-12 + -5p + 3p2 = 0

Factor a trinomial.
(-4 + -3p)(3 + -1p) = 0

Subproblem 1
Set the factor '(-4 + -3p)' equal to zero and attempt to solve:

Simplifying
-4 + -3p = 0

Solving
-4 + -3p = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3p = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3p = 0 + 4
-3p = 0 + 4

Combine like terms: 0 + 4 = 4
-3p = 4

Divide each side by '-3'.
p = -1.333333333

Simplifying
p = -1.333333333
Subproblem 2
Set the factor '(3 + -1p)' equal to zero and attempt to solve:

Simplifying
3 + -1p = 0

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

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

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

Divide each side by '-1'.
p = 3

Simplifying
p = 3
Solution
p = {-1.333333333, 3}