X(20x-5)=0

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Solution for X(20x-5)=0 equation: 


Simplifying
X(20x + -5) = 0

Reorder the terms:
X(-5 + 20x) = 0
(-5 * X + 20x * X) = 0
(-5X + 20xX) = 0

Solving
-5X + 20xX = 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), '5X'.
5X(-1 + 4x) = 0

Ignore the factor 5.

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 '(-1 + 4x)' equal to zero and attempt to solve:

Simplifying
-1 + 4x = 0

Solving
-1 + 4x = 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 + 4x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = 0 + 1
4x = 0 + 1

Combine like terms: 0 + 1 = 1
4x = 1

Add '-4x' to each side of the equation.
4x + -4x = 1 + -4x

Combine like terms: 4x + -4x = 0
0 = 1 + -4x

Simplifying
0 = 1 + -4x

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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