p^2+10p+24=3

Solution for p^2+10p+24=3 equation:

Simplifying
p2 + 10p + 24 = 3

Reorder the terms:
24 + 10p + p2 = 3

Solving
24 + 10p + p2 = 3

Solving for variable 'p'.

Reorder the terms:
24 + -3 + 10p + p2 = 3 + -3

Combine like terms: 24 + -3 = 21
21 + 10p + p2 = 3 + -3

Combine like terms: 3 + -3 = 0
21 + 10p + p2 = 0

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

Subproblem 1
Set the factor '(7 + p)' equal to zero and attempt to solve:

Simplifying
7 + p = 0

Solving
7 + p = 0

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

Add '-7' to each side of the equation.
7 + -7 + p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + p = 0 + -7
p = 0 + -7

Combine like terms: 0 + -7 = -7
p = -7

Simplifying
p = -7
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 = {-7, -3}