x^2-x=x*(20*19)

Solution for x^2-x=x*(20*19) equation:

Simplifying
x2 + -1x = x(20 * 19)

Reorder the terms:
-1x + x2 = x(20 * 19)

Multiply 20 * 19
-1x + x2 = x(380)

Reorder the terms for easier multiplication:
-1x + x2 = 380x

Solving
-1x + x2 = 380x

Solving for variable 'x'.

Reorder the terms:
-1x + -380x + x2 = 380x + -380x

Combine like terms: -1x + -380x = -381x
-381x + x2 = 380x + -380x

Combine like terms: 380x + -380x = 0
-381x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-381 + 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 '(-381 + x)' equal to zero and attempt to solve:

Simplifying
-381 + x = 0

Solving
-381 + x = 0

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

Add '381' to each side of the equation.
-381 + 381 + x = 0 + 381

Combine like terms: -381 + 381 = 0
0 + x = 0 + 381
x = 0 + 381

Combine like terms: 0 + 381 = 381
x = 381

Simplifying
x = 381
Solution
x = {0, 381}