(3x+6)(2x^2+8x+3)=

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Solution for (3x+6)(2x^2+8x+3)= equation:


Simplifying
(3x + 6)(2x2 + 8x + 3) = 0

Reorder the terms:
(6 + 3x)(2x2 + 8x + 3) = 0

Reorder the terms:
(6 + 3x)(3 + 8x + 2x2) = 0

Multiply (6 + 3x) * (3 + 8x + 2x2)
(6(3 + 8x + 2x2) + 3x * (3 + 8x + 2x2)) = 0
((3 * 6 + 8x * 6 + 2x2 * 6) + 3x * (3 + 8x + 2x2)) = 0
((18 + 48x + 12x2) + 3x * (3 + 8x + 2x2)) = 0
(18 + 48x + 12x2 + (3 * 3x + 8x * 3x + 2x2 * 3x)) = 0
(18 + 48x + 12x2 + (9x + 24x2 + 6x3)) = 0

Reorder the terms:
(18 + 48x + 9x + 12x2 + 24x2 + 6x3) = 0

Combine like terms: 48x + 9x = 57x
(18 + 57x + 12x2 + 24x2 + 6x3) = 0

Combine like terms: 12x2 + 24x2 = 36x2
(18 + 57x + 36x2 + 6x3) = 0

Solving
18 + 57x + 36x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + 19x + 12x2 + 2x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(6 + 19x + 12x2 + 2x3)' equal to zero and attempt to solve: Simplifying 6 + 19x + 12x2 + 2x3 = 0 Solving 6 + 19x + 12x2 + 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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