P^2+2P-8=0

Solution for P^2+2P-8=0 equation:

Simplifying
P2 + 2P + -8 = 0

Reorder the terms:
-8 + 2P + P2 = 0

Solving
-8 + 2P + P2 = 0

Solving for variable 'P'.

Factor a trinomial.
(-4 + -1P)(2 + -1P) = 0

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

Simplifying
-4 + -1P = 0

Solving
-4 + -1P = 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 + -1P = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1P = 0 + 4
-1P = 0 + 4

Combine like terms: 0 + 4 = 4
-1P = 4

Divide each side by '-1'.
P = -4

Simplifying
P = -4
Subproblem 2
Set the factor '(2 + -1P)' equal to zero and attempt to solve:

Simplifying
2 + -1P = 0

Solving
2 + -1P = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1P = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1P = 0 + -2
-1P = 0 + -2

Combine like terms: 0 + -2 = -2
-1P = -2

Divide each side by '-1'.
P = 2

Simplifying
P = 2
Solution
P = {-4, 2}