2p^2-11p-103=2

Solution for 2p^2-11p-103=2 equation:

Simplifying
2p2 + -11p + -103 = 2

Reorder the terms:
-103 + -11p + 2p2 = 2

Solving
-103 + -11p + 2p2 = 2

Solving for variable 'p'.

Reorder the terms:
-103 + -2 + -11p + 2p2 = 2 + -2

Combine like terms: -103 + -2 = -105
-105 + -11p + 2p2 = 2 + -2

Combine like terms: 2 + -2 = 0
-105 + -11p + 2p2 = 0

Factor a trinomial.
(-5 + -1p)(21 + -2p) = 0

Subproblem 1
Set the factor '(-5 + -1p)' equal to zero and attempt to solve:

Simplifying
-5 + -1p = 0

Solving
-5 + -1p = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1p = 0 + 5
-1p = 0 + 5

Combine like terms: 0 + 5 = 5
-1p = 5

Divide each side by '-1'.
p = -5

Simplifying
p = -5
Subproblem 2
Set the factor '(21 + -2p)' equal to zero and attempt to solve:

Simplifying
21 + -2p = 0

Solving
21 + -2p = 0

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

Add '-21' to each side of the equation.
21 + -21 + -2p = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -2p = 0 + -21
-2p = 0 + -21

Combine like terms: 0 + -21 = -21
-2p = -21

Divide each side by '-2'.
p = 10.5

Simplifying
p = 10.5
Solution
p = {-5, 10.5}