p^2+18p=63

Solution for p^2+18p=63 equation:

Simplifying
p2 + 18p = 63

Reorder the terms:
18p + p2 = 63

Solving
18p + p2 = 63

Solving for variable 'p'.

Reorder the terms:
-63 + 18p + p2 = 63 + -63

Combine like terms: 63 + -63 = 0
-63 + 18p + p2 = 0

Factor a trinomial.
(-21 + -1p)(3 + -1p) = 0

Subproblem 1
Set the factor '(-21 + -1p)' equal to zero and attempt to solve:

Simplifying
-21 + -1p = 0

Solving
-21 + -1p = 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 + -1p = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -1p = 0 + 21
-1p = 0 + 21

Combine like terms: 0 + 21 = 21
-1p = 21

Divide each side by '-1'.
p = -21

Simplifying
p = -21
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 = {-21, 3}