r^2+4r+7r+28=

Solution for r^2+4r+7r+28= equation:

Simplifying
r2 + 4r + 7r + 28 = 0

Reorder the terms:
28 + 4r + 7r + r2 = 0

Combine like terms: 4r + 7r = 11r
28 + 11r + r2 = 0

Solving
28 + 11r + r2 = 0

Solving for variable 'r'.

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

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

Simplifying
7 + r = 0

Solving
7 + r = 0

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

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

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

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

Simplifying
r = -7
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 = {-7, -4}