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

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


Simplifying
(6x3 + 2x2 + 2)(x + 2) = 0

Reorder the terms:
(2 + 2x2 + 6x3)(x + 2) = 0

Reorder the terms:
(2 + 2x2 + 6x3)(2 + x) = 0

Multiply (2 + 2x2 + 6x3) * (2 + x)
(2(2 + x) + 2x2 * (2 + x) + 6x3 * (2 + x)) = 0
((2 * 2 + x * 2) + 2x2 * (2 + x) + 6x3 * (2 + x)) = 0
((4 + 2x) + 2x2 * (2 + x) + 6x3 * (2 + x)) = 0
(4 + 2x + (2 * 2x2 + x * 2x2) + 6x3 * (2 + x)) = 0
(4 + 2x + (4x2 + 2x3) + 6x3 * (2 + x)) = 0
(4 + 2x + 4x2 + 2x3 + (2 * 6x3 + x * 6x3)) = 0
(4 + 2x + 4x2 + 2x3 + (12x3 + 6x4)) = 0

Combine like terms: 2x3 + 12x3 = 14x3
(4 + 2x + 4x2 + 14x3 + 6x4) = 0

Solving
4 + 2x + 4x2 + 14x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + x + 2x2 + 7x3 + 3x4) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + x + 2x2 + 7x3 + 3x4)' equal to zero and attempt to solve: Simplifying 2 + x + 2x2 + 7x3 + 3x4 = 0 Solving 2 + x + 2x2 + 7x3 + 3x4 = 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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