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

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

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

Multiply (-3 + -1X) * (1 + -1X)
(-3(1 + -1X) + -1X * (1 + -1X)) = 0
((1 * -3 + -1X * -3) + -1X * (1 + -1X)) = 0
((-3 + 3X) + -1X * (1 + -1X)) = 0
(-3 + 3X + (1 * -1X + -1X * -1X)) = 0
(-3 + 3X + (-1X + 1X2)) = 0

Combine like terms: 3X + -1X = 2X
(-3 + 2X + 1X2) = 0

Solving
-3 + 2X + 1X2 = 0

Solving for variable 'X'.

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

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

Simplifying
-3 + -1X = 0

Solving
-3 + -1X = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1X = 0 + 3

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

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

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

Simplifying
X = -3
Subproblem 2
Set the factor '(1 + -1X)' equal to zero and attempt to solve:

Simplifying
1 + -1X = 0

Solving
1 + -1X = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1X = 0 + -1

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

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

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

Simplifying
X = 1
Solution
X = {-3, 1}