p^2+31p=32

Solution for p^2+31p=32 equation:

Simplifying
p2 + 31p = 32

Reorder the terms:
31p + p2 = 32

Solving
31p + p2 = 32

Solving for variable 'p'.

Reorder the terms:
-32 + 31p + p2 = 32 + -32

Combine like terms: 32 + -32 = 0
-32 + 31p + p2 = 0

Factor a trinomial.
(-32 + -1p)(1 + -1p) = 0

Subproblem 1
Set the factor '(-32 + -1p)' equal to zero and attempt to solve:

Simplifying
-32 + -1p = 0

Solving
-32 + -1p = 0

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

Add '32' to each side of the equation.
-32 + 32 + -1p = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -1p = 0 + 32
-1p = 0 + 32

Combine like terms: 0 + 32 = 32
-1p = 32

Divide each side by '-1'.
p = -32

Simplifying
p = -32
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 = {-32, 1}