18r^2-15r+24r-20=

Solution for 18r^2-15r+24r-20= equation:

Simplifying
18r2 + -15r + 24r + -20 = 0

Reorder the terms:
-20 + -15r + 24r + 18r2 = 0

Combine like terms: -15r + 24r = 9r
-20 + 9r + 18r2 = 0

Solving
-20 + 9r + 18r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-4 + -3r)(5 + -6r) = 0

Subproblem 1
Set the factor '(-4 + -3r)' equal to zero and attempt to solve:

Simplifying
-4 + -3r = 0

Solving
-4 + -3r = 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 + -3r = 0 + 4

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

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

Divide each side by '-3'.
r = -1.333333333

Simplifying
r = -1.333333333
Subproblem 2
Set the factor '(5 + -6r)' equal to zero and attempt to solve:

Simplifying
5 + -6r = 0

Solving
5 + -6r = 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 + -6r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6r = 0 + -5
-6r = 0 + -5

Combine like terms: 0 + -5 = -5
-6r = -5

Divide each side by '-6'.
r = 0.8333333333

Simplifying
r = 0.8333333333
Solution
r = {-1.333333333, 0.8333333333}