6X(2x-5)=0

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Solution for 6X(2x-5)=0 equation: 


Simplifying
6X(2x + -5) = 0

Reorder the terms:
6X(-5 + 2x) = 0
(-5 * 6X + 2x * 6X) = 0
(-30X + 12xX) = 0

Solving
-30X + 12xX = 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), '6X'.
6X(-5 + 2x) = 0

Ignore the factor 6.

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 '(-5 + 2x)' equal to zero and attempt to solve:

Simplifying
-5 + 2x = 0

Solving
-5 + 2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 0 + 5
2x = 0 + 5

Combine like terms: 0 + 5 = 5
2x = 5

Add '-2x' to each side of the equation.
2x + -2x = 5 + -2x

Combine like terms: 2x + -2x = 0
0 = 5 + -2x

Simplifying
0 = 5 + -2x

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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