2X(x-4)(3x+15)=0

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Solution for 2X(x-4)(3x+15)=0 equation: 


Simplifying
2X(x + -4)(3x + 15) = 0

Reorder the terms:
2X(-4 + x)(3x + 15) = 0

Reorder the terms:
2X(-4 + x)(15 + 3x) = 0

Multiply (-4 + x) * (15 + 3x)
2X(-4(15 + 3x) + x(15 + 3x)) = 0
2X((15 * -4 + 3x * -4) + x(15 + 3x)) = 0
2X((-60 + -12x) + x(15 + 3x)) = 0
2X(-60 + -12x + (15 * x + 3x * x)) = 0
2X(-60 + -12x + (15x + 3x2)) = 0

Combine like terms: -12x + 15x = 3x
2X(-60 + 3x + 3x2) = 0
(-60 * 2X + 3x * 2X + 3x2 * 2X) = 0
(-120X + 6xX + 6x2X) = 0

Solving
-120X + 6xX + 6x2X = 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(-20 + x + x2) = 0

Factor a trinomial.
6X((-5 + -1x)(4 + -1x)) = 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 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

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

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

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

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

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

Simplifying
0 = 5 + 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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

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

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

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

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

Simplifying
0 = -4 + 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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