r^2+4=-4r

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

Simplifying
r2 + 4 = -4r

Reorder the terms:
4 + r2 = -4r

Solving
4 + r2 = -4r

Solving for variable 'r'.

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

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

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

Subproblem 1
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
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 = {-2, -2}