x[3(x-2)-2x+1]=

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

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

Reorder the terms:
x[3(-2 + x) + -2x + 1] = 0
x[(-2 * 3 + x * 3) + -2x + 1] = 0
x[(-6 + 3x) + -2x + 1] = 0

Reorder the terms:
x[-6 + 1 + 3x + -2x] = 0

Combine like terms: -6 + 1 = -5
x[-5 + 3x + -2x] = 0

Combine like terms: 3x + -2x = 1x
x[-5 + 1x] = 0
[-5 * x + 1x * x] = 0
[-5x + 1x2] = 0

Solving
-5x + 1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + 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 '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 0

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

Add '5' to each side of the equation.
-5 + 5 + x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + x = 0 + 5
x = 0 + 5

Combine like terms: 0 + 5 = 5
x = 5

Simplifying
x = 5
Solution
x = {0, 5}