2x(y-32)=

Solution for 2x(y-32)= equation:

Simplifying
2x(y + -32) = 0

Reorder the terms:
2x(-32 + y) = 0
(-32 * 2x + y * 2x) = 0
(-64x + 2xy) = 0

Solving
-64x + 2xy = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-32 + y) = 0

Ignore the factor 2.
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 '(-32 + y)' equal to zero and attempt to solve:

Simplifying
-32 + y = 0

Solving
-32 + y = 0

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

Add '32' to each side of the equation.
-32 + 32 + y = 0 + 32

Combine like terms: -32 + 32 = 0
0 + y = 0 + 32
y = 0 + 32

Combine like terms: 0 + 32 = 32
y = 32

Add '-1y' to each side of the equation.
y + -1y = 32 + -1y

Combine like terms: y + -1y = 0
0 = 32 + -1y

Simplifying
0 = 32 + -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}