(-3x+2x)(1+-1x)=0

Solution for (-3x+2x)(1+-1x)=0 equation:

Simplifying
(-3x + 2x)(1 + -1x) = 0

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

Remove parenthesis around (-1x)
-1x(1 + -1x) = 0
(1 * -1x + -1x * -1x) = 0
(-1x + 1x2) = 0

Solving
-1x + 1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 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 + x = 0 + 1

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

Combine like terms: 0 + 1 = 1
x = 1

Simplifying
x = 1
Solution
x = {0, 1}