-4r^2+r=-39

Solution for -4r^2+r=-39 equation:

Simplifying
-4r2 + r = -39

Reorder the terms:
r + -4r2 = -39

Solving
r + -4r2 = -39

Solving for variable 'r'.

Reorder the terms:
39 + r + -4r2 = -39 + 39

Combine like terms: -39 + 39 = 0
39 + r + -4r2 = 0

Factor a trinomial.
(13 + -4r)(3 + r) = 0

Subproblem 1
Set the factor '(13 + -4r)' equal to zero and attempt to solve:

Simplifying
13 + -4r = 0

Solving
13 + -4r = 0

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

Add '-13' to each side of the equation.
13 + -13 + -4r = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -4r = 0 + -13
-4r = 0 + -13

Combine like terms: 0 + -13 = -13
-4r = -13

Divide each side by '-4'.
r = 3.25

Simplifying
r = 3.25
Subproblem 2
Set the factor '(3 + r)' equal to zero and attempt to solve:

Simplifying
3 + r = 0

Solving
3 + r = 0

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

Add '-3' to each side of the equation.
3 + -3 + r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + r = 0 + -3
r = 0 + -3

Combine like terms: 0 + -3 = -3
r = -3

Simplifying
r = -3
Solution
r = {3.25, -3}