(3R+2)(R+3)=

Solution for (3R+2)(R+3)= equation:

Simplifying
(3R + 2)(R + 3) = 0

Reorder the terms:
(2 + 3R)(R + 3) = 0

Reorder the terms:
(2 + 3R)(3 + R) = 0

Multiply (2 + 3R) * (3 + R)
(2(3 + R) + 3R * (3 + R)) = 0
((3 * 2 + R * 2) + 3R * (3 + R)) = 0
((6 + 2R) + 3R * (3 + R)) = 0
(6 + 2R + (3 * 3R + R * 3R)) = 0
(6 + 2R + (9R + 3R2)) = 0

Combine like terms: 2R + 9R = 11R
(6 + 11R + 3R2) = 0

Solving
6 + 11R + 3R2 = 0

Solving for variable 'R'.

Factor a trinomial.
(3 + R)(2 + 3R) = 0

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

Simplifying
3 + R = 0

Solving
3 + R = 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 + R = 0 + -3

Combine like terms: 3 + -3 = 0
0 + R = 0 + -3
R = 0 + -3

Combine like terms: 0 + -3 = -3
R = -3

Simplifying
R = -3
Subproblem 2
Set the factor '(2 + 3R)' equal to zero and attempt to solve:

Simplifying
2 + 3R = 0

Solving
2 + 3R = 0

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

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

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

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

Divide each side by '3'.
R = -0.6666666667

Simplifying
R = -0.6666666667
Solution
R = {-3, -0.6666666667}