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

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


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

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

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

Multiply (-3 + x) * (-1 + 5x)
X(-3(-1 + 5x) + x(-1 + 5x)) = 0
X((-1 * -3 + 5x * -3) + x(-1 + 5x)) = 0
X((3 + -15x) + x(-1 + 5x)) = 0
X(3 + -15x + (-1 * x + 5x * x)) = 0
X(3 + -15x + (-1x + 5x2)) = 0

Combine like terms: -15x + -1x = -16x
X(3 + -16x + 5x2) = 0
(3 * X + -16x * X + 5x2 * X) = 0
(3X + -16xX + 5x2X) = 0

Solving
3X + -16xX + 5x2X = 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(3 + -16x + 5x2) = 0

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

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Add '5x' to each side of the equation.
-5x + 5x = -1 + 5x

Combine like terms: -5x + 5x = 0
0 = -1 + 5x

Simplifying
0 = -1 + 5x

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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Add 'x' to each side of the equation.
-1x + x = -3 + x

Combine like terms: -1x + x = 0
0 = -3 + x

Simplifying
0 = -3 + x

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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