r^2+4r-1152=0

Solution for r^2+4r-1152=0 equation:

Simplifying
r2 + 4r + -1152 = 0

Reorder the terms:
-1152 + 4r + r2 = 0

Solving
-1152 + 4r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-36 + -1r)(32 + -1r) = 0

Subproblem 1
Set the factor '(-36 + -1r)' equal to zero and attempt to solve:

Simplifying
-36 + -1r = 0

Solving
-36 + -1r = 0

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

Add '36' to each side of the equation.
-36 + 36 + -1r = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -1r = 0 + 36
-1r = 0 + 36

Combine like terms: 0 + 36 = 36
-1r = 36

Divide each side by '-1'.
r = -36

Simplifying
r = -36
Subproblem 2
Set the factor '(32 + -1r)' equal to zero and attempt to solve:

Simplifying
32 + -1r = 0

Solving
32 + -1r = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1r = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1r = 0 + -32
-1r = 0 + -32

Combine like terms: 0 + -32 = -32
-1r = -32

Divide each side by '-1'.
r = 32

Simplifying
r = 32
Solution
r = {-36, 32}