(2r+3)(9r-9)=

Solution for (2r+3)(9r-9)= equation:

Simplifying
(2r + 3)(9r + -9) = 0

Reorder the terms:
(3 + 2r)(9r + -9) = 0

Reorder the terms:
(3 + 2r)(-9 + 9r) = 0

Multiply (3 + 2r) * (-9 + 9r)
(3(-9 + 9r) + 2r * (-9 + 9r)) = 0
((-9 * 3 + 9r * 3) + 2r * (-9 + 9r)) = 0
((-27 + 27r) + 2r * (-9 + 9r)) = 0
(-27 + 27r + (-9 * 2r + 9r * 2r)) = 0
(-27 + 27r + (-18r + 18r2)) = 0

Combine like terms: 27r + -18r = 9r
(-27 + 9r + 18r2) = 0

Solving
-27 + 9r + 18r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-3 + r + 2r2) = 0

Factor a trinomial.
9((-3 + -2r)(1 + -1r)) = 0

Ignore the factor 9.
Subproblem 1
Set the factor '(-3 + -2r)' equal to zero and attempt to solve:

Simplifying
-3 + -2r = 0

Solving
-3 + -2r = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2r = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2r = 0 + 3
-2r = 0 + 3

Combine like terms: 0 + 3 = 3
-2r = 3

Divide each side by '-2'.
r = -1.5

Simplifying
r = -1.5
Subproblem 2
Set the factor '(1 + -1r)' equal to zero and attempt to solve:

Simplifying
1 + -1r = 0

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

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

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

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

Simplifying
r = 1
Solution
r = {-1.5, 1}