0=(3x^2+6)(x-4)

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Solution for 0=(3x^2+6)(x-4) equation: 


Simplifying
0 = (3x2 + 6)(x + -4)

Reorder the terms:
0 = (6 + 3x2)(x + -4)

Reorder the terms:
0 = (6 + 3x2)(-4 + x)

Multiply (6 + 3x2) * (-4 + x)
0 = (6(-4 + x) + 3x2 * (-4 + x))
0 = ((-4 * 6 + x * 6) + 3x2 * (-4 + x))
0 = ((-24 + 6x) + 3x2 * (-4 + x))
0 = (-24 + 6x + (-4 * 3x2 + x * 3x2))
0 = (-24 + 6x + (-12x2 + 3x3))
0 = (-24 + 6x + -12x2 + 3x3)

Solving
0 = -24 + 6x + -12x2 + 3x3

Solving for variable 'x'.

Combine like terms: 0 + 24 = 24
24 + -6x + 12x2 + -3x3 = -24 + 6x + -12x2 + 3x3 + 24 + -6x + 12x2 + -3x3

Reorder the terms:
24 + -6x + 12x2 + -3x3 = -24 + 24 + 6x + -6x + -12x2 + 12x2 + 3x3 + -3x3

Combine like terms: -24 + 24 = 0
24 + -6x + 12x2 + -3x3 = 0 + 6x + -6x + -12x2 + 12x2 + 3x3 + -3x3
24 + -6x + 12x2 + -3x3 = 6x + -6x + -12x2 + 12x2 + 3x3 + -3x3

Combine like terms: 6x + -6x = 0
24 + -6x + 12x2 + -3x3 = 0 + -12x2 + 12x2 + 3x3 + -3x3
24 + -6x + 12x2 + -3x3 = -12x2 + 12x2 + 3x3 + -3x3

Combine like terms: -12x2 + 12x2 = 0
24 + -6x + 12x2 + -3x3 = 0 + 3x3 + -3x3
24 + -6x + 12x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
24 + -6x + 12x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(8 + -2x + 4x2 + -1x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(8 + -2x + 4x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
8 + -2x + 4x2 + -1x3 = 0

Solving
8 + -2x + 4x2 + -1x3 = 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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