-r^2-4=5r

Solution for -r^2-4=5r equation:

Simplifying
-1r2 + -4 = 5r

Reorder the terms:
-4 + -1r2 = 5r

Solving
-4 + -1r2 = 5r

Solving for variable 'r'.

Reorder the terms:
-4 + -5r + -1r2 = 5r + -5r

Combine like terms: 5r + -5r = 0
-4 + -5r + -1r2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 5r + r2) = 0

Factor a trinomial.
-1((4 + r)(1 + r)) = 0

Ignore the factor -1.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + r)' equal to zero and attempt to solve:

Simplifying
1 + r = 0

Solving
1 + r = 0

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

Add '-1' to each side of the equation.
1 + -1 + r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + r = 0 + -1
r = 0 + -1

Combine like terms: 0 + -1 = -1
r = -1

Simplifying
r = -1
Solution
r = {-4, -1}