X(3x-5)(x-1)=0

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Solution for X(3x-5)(x-1)=0 equation: 


Simplifying
X(3x + -5)(x + -1) = 0

Reorder the terms:
X(-5 + 3x)(x + -1) = 0

Reorder the terms:
X(-5 + 3x)(-1 + x) = 0

Multiply (-5 + 3x) * (-1 + x)
X(-5(-1 + x) + 3x * (-1 + x)) = 0
X((-1 * -5 + x * -5) + 3x * (-1 + x)) = 0
X((5 + -5x) + 3x * (-1 + x)) = 0
X(5 + -5x + (-1 * 3x + x * 3x)) = 0
X(5 + -5x + (-3x + 3x2)) = 0

Combine like terms: -5x + -3x = -8x
X(5 + -8x + 3x2) = 0
(5 * X + -8x * X + 3x2 * X) = 0
(5X + -8xX + 3x2X) = 0

Solving
5X + -8xX + 3x2X = 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), 'X'.
X(5 + -8x + 3x2) = 0

Factor a trinomial.
X((1 + -1x)(5 + -3x)) = 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 '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

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

Simplifying
0 = -1 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Add '3x' to each side of the equation.
-3x + 3x = -5 + 3x

Combine like terms: -3x + 3x = 0
0 = -5 + 3x

Simplifying
0 = -5 + 3x

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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