r^2+10r+12=-4

Solution for r^2+10r+12=-4 equation:

Simplifying
r2 + 10r + 12 = -4

Reorder the terms:
12 + 10r + r2 = -4

Solving
12 + 10r + r2 = -4

Solving for variable 'r'.

Reorder the terms:
12 + 4 + 10r + r2 = -4 + 4

Combine like terms: 12 + 4 = 16
16 + 10r + r2 = -4 + 4

Combine like terms: -4 + 4 = 0
16 + 10r + r2 = 0

Factor a trinomial.
(8 + r)(2 + r) = 0

Subproblem 1
Set the factor '(8 + r)' equal to zero and attempt to solve:

Simplifying
8 + r = 0

Solving
8 + r = 0

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

Add '-8' to each side of the equation.
8 + -8 + r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + r = 0 + -8
r = 0 + -8

Combine like terms: 0 + -8 = -8
r = -8

Simplifying
r = -8
Subproblem 2
Set the factor '(2 + r)' equal to zero and attempt to solve:

Simplifying
2 + r = 0

Solving
2 + r = 0

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

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

Combine like terms: 2 + -2 = 0
0 + r = 0 + -2
r = 0 + -2

Combine like terms: 0 + -2 = -2
r = -2

Simplifying
r = -2
Solution
r = {-8, -2}