r^2+14r+49=9

Solution for r^2+14r+49=9 equation:

Simplifying
r2 + 14r + 49 = 9

Reorder the terms:
49 + 14r + r2 = 9

Solving
49 + 14r + r2 = 9

Solving for variable 'r'.

Reorder the terms:
49 + -9 + 14r + r2 = 9 + -9

Combine like terms: 49 + -9 = 40
40 + 14r + r2 = 9 + -9

Combine like terms: 9 + -9 = 0
40 + 14r + r2 = 0

Factor a trinomial.
(10 + r)(4 + r) = 0

Subproblem 1
Set the factor '(10 + r)' equal to zero and attempt to solve:

Simplifying
10 + r = 0

Solving
10 + r = 0

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

Add '-10' to each side of the equation.
10 + -10 + r = 0 + -10

Combine like terms: 10 + -10 = 0
0 + r = 0 + -10
r = 0 + -10

Combine like terms: 0 + -10 = -10
r = -10

Simplifying
r = -10
Subproblem 2
Set the factor '(4 + r)' equal to zero and attempt to solve:

Simplifying
4 + r = 0

Solving
4 + r = 0

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

Add '-4' to each side of the equation.
4 + -4 + r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + r = 0 + -4
r = 0 + -4

Combine like terms: 0 + -4 = -4
r = -4

Simplifying
r = -4
Solution
r = {-10, -4}