p^2+9p+25=7

Solution for p^2+9p+25=7 equation:

Simplifying
p2 + 9p + 25 = 7

Reorder the terms:
25 + 9p + p2 = 7

Solving
25 + 9p + p2 = 7

Solving for variable 'p'.

Reorder the terms:
25 + -7 + 9p + p2 = 7 + -7

Combine like terms: 25 + -7 = 18
18 + 9p + p2 = 7 + -7

Combine like terms: 7 + -7 = 0
18 + 9p + p2 = 0

Factor a trinomial.
(6 + p)(3 + p) = 0

Subproblem 1
Set the factor '(6 + p)' equal to zero and attempt to solve:

Simplifying
6 + p = 0

Solving
6 + p = 0

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

Add '-6' to each side of the equation.
6 + -6 + p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + p = 0 + -6
p = 0 + -6

Combine like terms: 0 + -6 = -6
p = -6

Simplifying
p = -6
Subproblem 2
Set the factor '(3 + p)' equal to zero and attempt to solve:

Simplifying
3 + p = 0

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

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

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

Simplifying
p = -3
Solution
p = {-6, -3}