=r^2-3r-4

Solution for =r^2-3r-4 equation:

Simplifying
0 = r2 + -3r + -4

Reorder the terms:
0 = -4 + -3r + r2

Solving
0 = -4 + -3r + r2

Solving for variable 'r'.

Combine like terms: 0 + 4 = 4
4 + 3r + -1r2 = -4 + -3r + r2 + 4 + 3r + -1r2

Reorder the terms:
4 + 3r + -1r2 = -4 + 4 + -3r + 3r + r2 + -1r2

Combine like terms: -4 + 4 = 0
4 + 3r + -1r2 = 0 + -3r + 3r + r2 + -1r2
4 + 3r + -1r2 = -3r + 3r + r2 + -1r2

Combine like terms: -3r + 3r = 0
4 + 3r + -1r2 = 0 + r2 + -1r2
4 + 3r + -1r2 = r2 + -1r2

Combine like terms: r2 + -1r2 = 0
4 + 3r + -1r2 = 0

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

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

Simplifying
4 + -1r = 0

Solving
4 + -1r = 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 + -1r = 0 + -4

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

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

Divide each side by '-1'.
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}