(x+5)(2x+3)(3x+9)=0

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Solution for (x+5)(2x+3)(3x+9)=0 equation:


Simplifying
(x + 5)(2x + 3)(3x + 9) = 0

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

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

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

Multiply (5 + x) * (3 + 2x)
(5(3 + 2x) + x(3 + 2x))(9 + 3x) = 0
((3 * 5 + 2x * 5) + x(3 + 2x))(9 + 3x) = 0
((15 + 10x) + x(3 + 2x))(9 + 3x) = 0
(15 + 10x + (3 * x + 2x * x))(9 + 3x) = 0
(15 + 10x + (3x + 2x2))(9 + 3x) = 0

Combine like terms: 10x + 3x = 13x
(15 + 13x + 2x2)(9 + 3x) = 0

Multiply (15 + 13x + 2x2) * (9 + 3x)
(15(9 + 3x) + 13x * (9 + 3x) + 2x2 * (9 + 3x)) = 0
((9 * 15 + 3x * 15) + 13x * (9 + 3x) + 2x2 * (9 + 3x)) = 0
((135 + 45x) + 13x * (9 + 3x) + 2x2 * (9 + 3x)) = 0
(135 + 45x + (9 * 13x + 3x * 13x) + 2x2 * (9 + 3x)) = 0
(135 + 45x + (117x + 39x2) + 2x2 * (9 + 3x)) = 0
(135 + 45x + 117x + 39x2 + (9 * 2x2 + 3x * 2x2)) = 0
(135 + 45x + 117x + 39x2 + (18x2 + 6x3)) = 0

Combine like terms: 45x + 117x = 162x
(135 + 162x + 39x2 + 18x2 + 6x3) = 0

Combine like terms: 39x2 + 18x2 = 57x2
(135 + 162x + 57x2 + 6x3) = 0

Solving
135 + 162x + 57x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(45 + 54x + 19x2 + 2x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(45 + 54x + 19x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
45 + 54x + 19x2 + 2x3 = 0

Solving
45 + 54x + 19x2 + 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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