24-r=(r^2-3r)

Solution for 24-r=(r^2-3r) equation:

Simplifying
24 + -1r = (r2 + -3r)

Reorder the terms:
24 + -1r = (-3r + r2)

Remove parenthesis around (-3r + r2)
24 + -1r = -3r + r2

Solving
24 + -1r = -3r + r2

Solving for variable 'r'.

Combine like terms: -1r + 3r = 2r
24 + 2r + -1r2 = -3r + r2 + 3r + -1r2

Reorder the terms:
24 + 2r + -1r2 = -3r + 3r + r2 + -1r2

Combine like terms: -3r + 3r = 0
24 + 2r + -1r2 = 0 + r2 + -1r2
24 + 2r + -1r2 = r2 + -1r2

Combine like terms: r2 + -1r2 = 0
24 + 2r + -1r2 = 0

Factor a trinomial.
(6 + -1r)(4 + r) = 0

Subproblem 1
Set the factor '(6 + -1r)' equal to zero and attempt to solve:

Simplifying
6 + -1r = 0

Solving
6 + -1r = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1r = 0 + -6
-1r = 0 + -6

Combine like terms: 0 + -6 = -6
-1r = -6

Divide each side by '-1'.
r = 6

Simplifying
r = 6
Subproblem 2
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
Solution
r = {6, -4}