(1x+0)(1x-1)(20x+0)=0

Solution for (1x+0)(1x-1)(20x+0)=0 equation:

Simplifying
(1x + 0)(1x + -1)(20x + 0) = 0

Reorder the terms:
(0 + 1x)(1x + -1)(20x + 0) = 0
Remove the zero:
(1x)(1x + -1)(20x + 0) = 0

Remove parenthesis around (1x)
1x(1x + -1)(20x + 0) = 0

Reorder the terms:
1x(-1 + 1x)(20x + 0) = 0

Reorder the terms:
1x(-1 + 1x)(0 + 20x) = 0
Remove the zero:
1x(-1 + 1x)(20x) = 0

Remove parenthesis around (20x)
1x(-1 + 1x) * 20x = 0

Reorder the terms for easier multiplication:
1 * 20x * x(-1 + 1x) = 0

Multiply 1 * 20
20x * x(-1 + 1x) = 0

Multiply x * x
20x2(-1 + 1x) = 0
(-1 * 20x2 + 1x * 20x2) = 0
(-20x2 + 20x3) = 0

Solving
-20x2 + 20x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20x2'.
20x2(-1 + x) = 0

Ignore the factor 20.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
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}