=x(20-2X)

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Solution for =x(20-2X) equation: 


Simplifying
0 = x(20 + -2X)
0 = (20 * x + -2X * x)
0 = (20x + -2xX)

Solving
0 = 20x + -2xX

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
0 + -20x = 20x + -20x + -2xX
Remove the zero:
-20x = 20x + -20x + -2xX

Combine like terms: 20x + -20x = 0
-20x = 0 + -2xX
-20x = -2xX

Add '2xX' to each side of the equation.
-20x + 2xX = -2xX + 2xX

Combine like terms: -2xX + 2xX = 0
-20x + 2xX = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-10 + X) = 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 '(-10 + X)' equal to zero and attempt to solve:

Simplifying
-10 + X = 0

Solving
-10 + X = 0

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

Add '10' to each side of the equation.
-10 + 10 + X = 0 + 10

Combine like terms: -10 + 10 = 0
0 + X = 0 + 10
X = 0 + 10

Combine like terms: 0 + 10 = 10
X = 10

Add '-1X' to each side of the equation.
X + -1X = 10 + -1X

Combine like terms: X + -1X = 0
0 = 10 + -1X

Simplifying
0 = 10 + -1X

The solution to this equation could not be determined.

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

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