(3x^2+12x+9)(x+3)=0

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Solution for (3x^2+12x+9)(x+3)=0 equation:


Simplifying
(3x2 + 12x + 9)(x + 3) = 0

Reorder the terms:
(9 + 12x + 3x2)(x + 3) = 0

Reorder the terms:
(9 + 12x + 3x2)(3 + x) = 0

Multiply (9 + 12x + 3x2) * (3 + x)
(9(3 + x) + 12x * (3 + x) + 3x2 * (3 + x)) = 0
((3 * 9 + x * 9) + 12x * (3 + x) + 3x2 * (3 + x)) = 0
((27 + 9x) + 12x * (3 + x) + 3x2 * (3 + x)) = 0
(27 + 9x + (3 * 12x + x * 12x) + 3x2 * (3 + x)) = 0
(27 + 9x + (36x + 12x2) + 3x2 * (3 + x)) = 0
(27 + 9x + 36x + 12x2 + (3 * 3x2 + x * 3x2)) = 0
(27 + 9x + 36x + 12x2 + (9x2 + 3x3)) = 0

Combine like terms: 9x + 36x = 45x
(27 + 45x + 12x2 + 9x2 + 3x3) = 0

Combine like terms: 12x2 + 9x2 = 21x2
(27 + 45x + 21x2 + 3x3) = 0

Solving
27 + 45x + 21x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + 15x + 7x2 + x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(9 + 15x + 7x2 + x3)' equal to zero and attempt to solve: Simplifying 9 + 15x + 7x2 + x3 = 0 Solving 9 + 15x + 7x2 + x3 = 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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