6(x^2+1)(x+4)=

Solution for 6(x^2+1)(x+4)= equation:

Simplifying
6(x2 + 1)(x + 4) = 0

Reorder the terms:
6(1 + x2)(x + 4) = 0

Reorder the terms:
6(1 + x2)(4 + x) = 0

Multiply (1 + x2) * (4 + x)
6(1(4 + x) + x2(4 + x)) = 0
6((4 * 1 + x * 1) + x2(4 + x)) = 0
6((4 + 1x) + x2(4 + x)) = 0
6(4 + 1x + (4 * x2 + x * x2)) = 0
6(4 + 1x + (4x2 + x3)) = 0
6(4 + 1x + 4x2 + x3) = 0
(4 * 6 + 1x * 6 + 4x2 * 6 + x3 * 6) = 0
(24 + 6x + 24x2 + 6x3) = 0

Solving
24 + 6x + 24x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(4 + x + 4x2 + x3) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(4 + x + 4x2 + x3)' equal to zero and attempt to solve:

Simplifying
4 + x + 4x2 + x3 = 0

Solving
4 + x + 4x2 + 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.