(X+5)(3x+6)(2x-18)=0

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Solution for (X+5)(3x+6)(2x-18)=0 equation: 


Simplifying
(X + 5)(3x + 6)(2x + -18) = 0

Reorder the terms:
(5 + X)(3x + 6)(2x + -18) = 0

Reorder the terms:
(5 + X)(6 + 3x)(2x + -18) = 0

Reorder the terms:
(5 + X)(6 + 3x)(-18 + 2x) = 0

Multiply (5 + X) * (6 + 3x)
(5(6 + 3x) + X(6 + 3x))(-18 + 2x) = 0
((6 * 5 + 3x * 5) + X(6 + 3x))(-18 + 2x) = 0
((30 + 15x) + X(6 + 3x))(-18 + 2x) = 0
(30 + 15x + (6 * X + 3x * X))(-18 + 2x) = 0
(30 + 15x + (6X + 3xX))(-18 + 2x) = 0

Reorder the terms:
(30 + 6X + 15x + 3xX)(-18 + 2x) = 0
(30 + 6X + 15x + 3xX)(-18 + 2x) = 0

Multiply (30 + 6X + 15x + 3xX) * (-18 + 2x)
(30(-18 + 2x) + 6X * (-18 + 2x) + 15x * (-18 + 2x) + 3xX * (-18 + 2x)) = 0
((-18 * 30 + 2x * 30) + 6X * (-18 + 2x) + 15x * (-18 + 2x) + 3xX * (-18 + 2x)) = 0
((-540 + 60x) + 6X * (-18 + 2x) + 15x * (-18 + 2x) + 3xX * (-18 + 2x)) = 0
(-540 + 60x + (-18 * 6X + 2x * 6X) + 15x * (-18 + 2x) + 3xX * (-18 + 2x)) = 0
(-540 + 60x + (-108X + 12xX) + 15x * (-18 + 2x) + 3xX * (-18 + 2x)) = 0
(-540 + 60x + -108X + 12xX + (-18 * 15x + 2x * 15x) + 3xX * (-18 + 2x)) = 0
(-540 + 60x + -108X + 12xX + (-270x + 30x2) + 3xX * (-18 + 2x)) = 0
(-540 + 60x + -108X + 12xX + -270x + 30x2 + (-18 * 3xX + 2x * 3xX)) = 0
(-540 + 60x + -108X + 12xX + -270x + 30x2 + (-54xX + 6x2X)) = 0

Reorder the terms:
(-540 + -108X + 60x + -270x + 12xX + -54xX + 30x2 + 6x2X) = 0

Combine like terms: 60x + -270x = -210x
(-540 + -108X + -210x + 12xX + -54xX + 30x2 + 6x2X) = 0

Combine like terms: 12xX + -54xX = -42xX
(-540 + -108X + -210x + -42xX + 30x2 + 6x2X) = 0

Solving
-540 + -108X + -210x + -42xX + 30x2 + 6x2X = 0

Solving for variable 'X'.

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

Add '540' to each side of the equation.
-540 + -108X + -210x + -42xX + 30x2 + 540 + 6x2X = 0 + 540

Reorder the terms:
-540 + 540 + -108X + -210x + -42xX + 30x2 + 6x2X = 0 + 540

Combine like terms: -540 + 540 = 0
0 + -108X + -210x + -42xX + 30x2 + 6x2X = 0 + 540
-108X + -210x + -42xX + 30x2 + 6x2X = 0 + 540

Combine like terms: 0 + 540 = 540
-108X + -210x + -42xX + 30x2 + 6x2X = 540

Add '210x' to each side of the equation.
-108X + -210x + -42xX + 30x2 + 210x + 6x2X = 540 + 210x

Reorder the terms:
-108X + -210x + 210x + -42xX + 30x2 + 6x2X = 540 + 210x

Combine like terms: -210x + 210x = 0
-108X + 0 + -42xX + 30x2 + 6x2X = 540 + 210x
-108X + -42xX + 30x2 + 6x2X = 540 + 210x

Add '-30x2' to each side of the equation.
-108X + -42xX + 30x2 + -30x2 + 6x2X = 540 + 210x + -30x2

Combine like terms: 30x2 + -30x2 = 0
-108X + -42xX + 0 + 6x2X = 540 + 210x + -30x2
-108X + -42xX + 6x2X = 540 + 210x + -30x2

Reorder the terms:
-540 + -108X + -210x + -42xX + 30x2 + 6x2X = 540 + 210x + -30x2 + -540 + -210x + 30x2

Reorder the terms:
-540 + -108X + -210x + -42xX + 30x2 + 6x2X = 540 + -540 + 210x + -210x + -30x2 + 30x2

Combine like terms: 540 + -540 = 0
-540 + -108X + -210x + -42xX + 30x2 + 6x2X = 0 + 210x + -210x + -30x2 + 30x2
-540 + -108X + -210x + -42xX + 30x2 + 6x2X = 210x + -210x + -30x2 + 30x2

Combine like terms: 210x + -210x = 0
-540 + -108X + -210x + -42xX + 30x2 + 6x2X = 0 + -30x2 + 30x2
-540 + -108X + -210x + -42xX + 30x2 + 6x2X = -30x2 + 30x2

Combine like terms: -30x2 + 30x2 = 0
-540 + -108X + -210x + -42xX + 30x2 + 6x2X = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-90 + -18X + -35x + -7xX + 5x2 + x2X) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-90 + -18X + -35x + -7xX + 5x2 + x2X)' equal to zero and attempt to solve:

Simplifying
-90 + -18X + -35x + -7xX + 5x2 + x2X = 0

Solving
-90 + -18X + -35x + -7xX + 5x2 + x2X = 0

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

Add '90' to each side of the equation.
-90 + -18X + -35x + -7xX + 5x2 + 90 + x2X = 0 + 90

Reorder the terms:
-90 + 90 + -18X + -35x + -7xX + 5x2 + x2X = 0 + 90

Combine like terms: -90 + 90 = 0
0 + -18X + -35x + -7xX + 5x2 + x2X = 0 + 90
-18X + -35x + -7xX + 5x2 + x2X = 0 + 90

Combine like terms: 0 + 90 = 90
-18X + -35x + -7xX + 5x2 + x2X = 90

Add '35x' to each side of the equation.
-18X + -35x + -7xX + 5x2 + 35x + x2X = 90 + 35x

Reorder the terms:
-18X + -35x + 35x + -7xX + 5x2 + x2X = 90 + 35x

Combine like terms: -35x + 35x = 0
-18X + 0 + -7xX + 5x2 + x2X = 90 + 35x
-18X + -7xX + 5x2 + x2X = 90 + 35x

Add '-5x2' to each side of the equation.
-18X + -7xX + 5x2 + -5x2 + x2X = 90 + 35x + -5x2

Combine like terms: 5x2 + -5x2 = 0
-18X + -7xX + 0 + x2X = 90 + 35x + -5x2
-18X + -7xX + x2X = 90 + 35x + -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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