(R-2)(r+3)=0

Solution for (R-2)(r+3)=0 equation:

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

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

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

Multiply (-2 + R) * (3 + r)
(-2(3 + r) + R(3 + r)) = 0
((3 * -2 + r * -2) + R(3 + r)) = 0
((-6 + -2r) + R(3 + r)) = 0
(-6 + -2r + (3 * R + r * R)) = 0
(-6 + -2r + (3R + rR)) = 0

Reorder the terms:
(-6 + 3R + -2r + rR) = 0
(-6 + 3R + -2r + rR) = 0

Solving
-6 + 3R + -2r + rR = 0

Solving for variable 'R'.

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

Add '6' to each side of the equation.
-6 + 3R + -2r + 6 + rR = 0 + 6

Reorder the terms:
-6 + 6 + 3R + -2r + rR = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 3R + -2r + rR = 0 + 6
3R + -2r + rR = 0 + 6

Combine like terms: 0 + 6 = 6
3R + -2r + rR = 6

Add '2r' to each side of the equation.
3R + -2r + 2r + rR = 6 + 2r

Combine like terms: -2r + 2r = 0
3R + 0 + rR = 6 + 2r
3R + rR = 6 + 2r

Reorder the terms:
-6 + 3R + -2r + rR = 6 + 2r + -6 + -2r

Reorder the terms:
-6 + 3R + -2r + rR = 6 + -6 + 2r + -2r

Combine like terms: 6 + -6 = 0
-6 + 3R + -2r + rR = 0 + 2r + -2r
-6 + 3R + -2r + rR = 2r + -2r

Combine like terms: 2r + -2r = 0
-6 + 3R + -2r + rR = 0

The solution to this equation could not be determined.