(2x-1)(3x+9)(x+2)=0

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Solution for (2x-1)(3x+9)(x+2)=0 equation: 


Simplifying
(2x + -1)(3x + 9)(x + 2) = 0

Reorder the terms:
(-1 + 2x)(3x + 9)(x + 2) = 0

Reorder the terms:
(-1 + 2x)(9 + 3x)(x + 2) = 0

Reorder the terms:
(-1 + 2x)(9 + 3x)(2 + x) = 0

Multiply (-1 + 2x) * (9 + 3x)
(-1(9 + 3x) + 2x * (9 + 3x))(2 + x) = 0
((9 * -1 + 3x * -1) + 2x * (9 + 3x))(2 + x) = 0
((-9 + -3x) + 2x * (9 + 3x))(2 + x) = 0
(-9 + -3x + (9 * 2x + 3x * 2x))(2 + x) = 0
(-9 + -3x + (18x + 6x2))(2 + x) = 0

Combine like terms: -3x + 18x = 15x
(-9 + 15x + 6x2)(2 + x) = 0

Multiply (-9 + 15x + 6x2) * (2 + x)
(-9(2 + x) + 15x * (2 + x) + 6x2 * (2 + x)) = 0
((2 * -9 + x * -9) + 15x * (2 + x) + 6x2 * (2 + x)) = 0
((-18 + -9x) + 15x * (2 + x) + 6x2 * (2 + x)) = 0
(-18 + -9x + (2 * 15x + x * 15x) + 6x2 * (2 + x)) = 0
(-18 + -9x + (30x + 15x2) + 6x2 * (2 + x)) = 0
(-18 + -9x + 30x + 15x2 + (2 * 6x2 + x * 6x2)) = 0
(-18 + -9x + 30x + 15x2 + (12x2 + 6x3)) = 0

Combine like terms: -9x + 30x = 21x
(-18 + 21x + 15x2 + 12x2 + 6x3) = 0

Combine like terms: 15x2 + 12x2 = 27x2
(-18 + 21x + 27x2 + 6x3) = 0

Solving
-18 + 21x + 27x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-6 + 7x + 9x2 + 2x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-6 + 7x + 9x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-6 + 7x + 9x2 + 2x3 = 0

Solving
-6 + 7x + 9x2 + 2x3 = 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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