4r^2-5r-4=-4

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

Simplifying
4r2 + -5r + -4 = -4

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

Add '4' to each side of the equation.
-4 + -5r + 4 + 4r2 = -4 + 4

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

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

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

Solving
-5r + 4r2 = 0

Solving for variable 'r'.

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

Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0
Subproblem 2
Set the factor '(-5 + 4r)' equal to zero and attempt to solve:

Simplifying
-5 + 4r = 0

Solving
-5 + 4r = 0

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

Add '5' to each side of the equation.
-5 + 5 + 4r = 0 + 5

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

Combine like terms: 0 + 5 = 5
4r = 5

Divide each side by '4'.
r = 1.25

Simplifying
r = 1.25
Solution
r = {0, 1.25}