(R+3)(R-1)=0

Solution for (R+3)(R-1)=0 equation:

Simplifying
(R + 3)(R + -1) = 0

Reorder the terms:
(3 + R)(R + -1) = 0

Reorder the terms:
(3 + R)(-1 + R) = 0

Multiply (3 + R) * (-1 + R)
(3(-1 + R) + R(-1 + R)) = 0
((-1 * 3 + R * 3) + R(-1 + R)) = 0
((-3 + 3R) + R(-1 + R)) = 0
(-3 + 3R + (-1 * R + R * R)) = 0
(-3 + 3R + (-1R + R2)) = 0

Combine like terms: 3R + -1R = 2R
(-3 + 2R + R2) = 0

Solving
-3 + 2R + R2 = 0

Solving for variable 'R'.

Factor a trinomial.
(-3 + -1R)(1 + -1R) = 0

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

Simplifying
-3 + -1R = 0

Solving
-3 + -1R = 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 + -1R = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1R = 0 + 3
-1R = 0 + 3

Combine like terms: 0 + 3 = 3
-1R = 3

Divide each side by '-1'.
R = -3

Simplifying
R = -3
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 = {-3, 1}