(X+5)(3x+6)(2x-16)=0

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Solution for (X+5)(3x+6)(2x-16)=0 equation: 


Simplifying
(X + 5)(3x + 6)(2x + -16) = 0

Reorder the terms:
(5 + X)(3x + 6)(2x + -16) = 0

Reorder the terms:
(5 + X)(6 + 3x)(2x + -16) = 0

Reorder the terms:
(5 + X)(6 + 3x)(-16 + 2x) = 0

Multiply (5 + X) * (6 + 3x)
(5(6 + 3x) + X(6 + 3x))(-16 + 2x) = 0
((6 * 5 + 3x * 5) + X(6 + 3x))(-16 + 2x) = 0
((30 + 15x) + X(6 + 3x))(-16 + 2x) = 0
(30 + 15x + (6 * X + 3x * X))(-16 + 2x) = 0
(30 + 15x + (6X + 3xX))(-16 + 2x) = 0

Reorder the terms:
(30 + 6X + 15x + 3xX)(-16 + 2x) = 0
(30 + 6X + 15x + 3xX)(-16 + 2x) = 0

Multiply (30 + 6X + 15x + 3xX) * (-16 + 2x)
(30(-16 + 2x) + 6X * (-16 + 2x) + 15x * (-16 + 2x) + 3xX * (-16 + 2x)) = 0
((-16 * 30 + 2x * 30) + 6X * (-16 + 2x) + 15x * (-16 + 2x) + 3xX * (-16 + 2x)) = 0
((-480 + 60x) + 6X * (-16 + 2x) + 15x * (-16 + 2x) + 3xX * (-16 + 2x)) = 0
(-480 + 60x + (-16 * 6X + 2x * 6X) + 15x * (-16 + 2x) + 3xX * (-16 + 2x)) = 0
(-480 + 60x + (-96X + 12xX) + 15x * (-16 + 2x) + 3xX * (-16 + 2x)) = 0
(-480 + 60x + -96X + 12xX + (-16 * 15x + 2x * 15x) + 3xX * (-16 + 2x)) = 0
(-480 + 60x + -96X + 12xX + (-240x + 30x2) + 3xX * (-16 + 2x)) = 0
(-480 + 60x + -96X + 12xX + -240x + 30x2 + (-16 * 3xX + 2x * 3xX)) = 0
(-480 + 60x + -96X + 12xX + -240x + 30x2 + (-48xX + 6x2X)) = 0

Reorder the terms:
(-480 + -96X + 60x + -240x + 12xX + -48xX + 30x2 + 6x2X) = 0

Combine like terms: 60x + -240x = -180x
(-480 + -96X + -180x + 12xX + -48xX + 30x2 + 6x2X) = 0

Combine like terms: 12xX + -48xX = -36xX
(-480 + -96X + -180x + -36xX + 30x2 + 6x2X) = 0

Solving
-480 + -96X + -180x + -36xX + 30x2 + 6x2X = 0

Solving for variable 'X'.

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

Add '480' to each side of the equation.
-480 + -96X + -180x + -36xX + 30x2 + 480 + 6x2X = 0 + 480

Reorder the terms:
-480 + 480 + -96X + -180x + -36xX + 30x2 + 6x2X = 0 + 480

Combine like terms: -480 + 480 = 0
0 + -96X + -180x + -36xX + 30x2 + 6x2X = 0 + 480
-96X + -180x + -36xX + 30x2 + 6x2X = 0 + 480

Combine like terms: 0 + 480 = 480
-96X + -180x + -36xX + 30x2 + 6x2X = 480

Add '180x' to each side of the equation.
-96X + -180x + -36xX + 30x2 + 180x + 6x2X = 480 + 180x

Reorder the terms:
-96X + -180x + 180x + -36xX + 30x2 + 6x2X = 480 + 180x

Combine like terms: -180x + 180x = 0
-96X + 0 + -36xX + 30x2 + 6x2X = 480 + 180x
-96X + -36xX + 30x2 + 6x2X = 480 + 180x

Add '-30x2' to each side of the equation.
-96X + -36xX + 30x2 + -30x2 + 6x2X = 480 + 180x + -30x2

Combine like terms: 30x2 + -30x2 = 0
-96X + -36xX + 0 + 6x2X = 480 + 180x + -30x2
-96X + -36xX + 6x2X = 480 + 180x + -30x2

Reorder the terms:
-480 + -96X + -180x + -36xX + 30x2 + 6x2X = 480 + 180x + -30x2 + -480 + -180x + 30x2

Reorder the terms:
-480 + -96X + -180x + -36xX + 30x2 + 6x2X = 480 + -480 + 180x + -180x + -30x2 + 30x2

Combine like terms: 480 + -480 = 0
-480 + -96X + -180x + -36xX + 30x2 + 6x2X = 0 + 180x + -180x + -30x2 + 30x2
-480 + -96X + -180x + -36xX + 30x2 + 6x2X = 180x + -180x + -30x2 + 30x2

Combine like terms: 180x + -180x = 0
-480 + -96X + -180x + -36xX + 30x2 + 6x2X = 0 + -30x2 + 30x2
-480 + -96X + -180x + -36xX + 30x2 + 6x2X = -30x2 + 30x2

Combine like terms: -30x2 + 30x2 = 0
-480 + -96X + -180x + -36xX + 30x2 + 6x2X = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-80 + -16X + -30x + -6xX + 5x2 + x2X) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-80 + -16X + -30x + -6xX + 5x2 + x2X)' equal to zero and attempt to solve:

Simplifying
-80 + -16X + -30x + -6xX + 5x2 + x2X = 0

Solving
-80 + -16X + -30x + -6xX + 5x2 + x2X = 0

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

Add '80' to each side of the equation.
-80 + -16X + -30x + -6xX + 5x2 + 80 + x2X = 0 + 80

Reorder the terms:
-80 + 80 + -16X + -30x + -6xX + 5x2 + x2X = 0 + 80

Combine like terms: -80 + 80 = 0
0 + -16X + -30x + -6xX + 5x2 + x2X = 0 + 80
-16X + -30x + -6xX + 5x2 + x2X = 0 + 80

Combine like terms: 0 + 80 = 80
-16X + -30x + -6xX + 5x2 + x2X = 80

Add '30x' to each side of the equation.
-16X + -30x + -6xX + 5x2 + 30x + x2X = 80 + 30x

Reorder the terms:
-16X + -30x + 30x + -6xX + 5x2 + x2X = 80 + 30x

Combine like terms: -30x + 30x = 0
-16X + 0 + -6xX + 5x2 + x2X = 80 + 30x
-16X + -6xX + 5x2 + x2X = 80 + 30x

Add '-5x2' to each side of the equation.
-16X + -6xX + 5x2 + -5x2 + x2X = 80 + 30x + -5x2

Combine like terms: 5x2 + -5x2 = 0
-16X + -6xX + 0 + x2X = 80 + 30x + -5x2
-16X + -6xX + x2X = 80 + 30x + -5x2

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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