(x+2)(3-x)(2x+6)=0

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


Simplifying
(x + 2)(3 + -1x)(2x + 6) = 0

Reorder the terms:
(2 + x)(3 + -1x)(2x + 6) = 0

Reorder the terms:
(2 + x)(3 + -1x)(6 + 2x) = 0

Multiply (2 + x) * (3 + -1x)
(2(3 + -1x) + x(3 + -1x))(6 + 2x) = 0
((3 * 2 + -1x * 2) + x(3 + -1x))(6 + 2x) = 0
((6 + -2x) + x(3 + -1x))(6 + 2x) = 0
(6 + -2x + (3 * x + -1x * x))(6 + 2x) = 0
(6 + -2x + (3x + -1x2))(6 + 2x) = 0

Combine like terms: -2x + 3x = 1x
(6 + 1x + -1x2)(6 + 2x) = 0

Multiply (6 + 1x + -1x2) * (6 + 2x)
(6(6 + 2x) + 1x * (6 + 2x) + -1x2 * (6 + 2x)) = 0
((6 * 6 + 2x * 6) + 1x * (6 + 2x) + -1x2 * (6 + 2x)) = 0
((36 + 12x) + 1x * (6 + 2x) + -1x2 * (6 + 2x)) = 0
(36 + 12x + (6 * 1x + 2x * 1x) + -1x2 * (6 + 2x)) = 0
(36 + 12x + (6x + 2x2) + -1x2 * (6 + 2x)) = 0
(36 + 12x + 6x + 2x2 + (6 * -1x2 + 2x * -1x2)) = 0
(36 + 12x + 6x + 2x2 + (-6x2 + -2x3)) = 0

Combine like terms: 12x + 6x = 18x
(36 + 18x + 2x2 + -6x2 + -2x3) = 0

Combine like terms: 2x2 + -6x2 = -4x2
(36 + 18x + -4x2 + -2x3) = 0

Solving
36 + 18x + -4x2 + -2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + 9x + -2x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(18 + 9x + -2x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
18 + 9x + -2x2 + -1x3 = 0

Solving
18 + 9x + -2x2 + -1x3 = 0

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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