3(x-4)(x+1)(x^2+3)=0

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Solution for 3(x-4)(x+1)(x^2+3)=0 equation: 


Simplifying
3(x + -4)(x + 1)(x2 + 3) = 0

Reorder the terms:
3(-4 + x)(x + 1)(x2 + 3) = 0

Reorder the terms:
3(-4 + x)(1 + x)(x2 + 3) = 0

Reorder the terms:
3(-4 + x)(1 + x)(3 + x2) = 0

Multiply (-4 + x) * (1 + x)
3(-4(1 + x) + x(1 + x))(3 + x2) = 0
3((1 * -4 + x * -4) + x(1 + x))(3 + x2) = 0
3((-4 + -4x) + x(1 + x))(3 + x2) = 0
3(-4 + -4x + (1 * x + x * x))(3 + x2) = 0
3(-4 + -4x + (1x + x2))(3 + x2) = 0

Combine like terms: -4x + 1x = -3x
3(-4 + -3x + x2)(3 + x2) = 0

Multiply (-4 + -3x + x2) * (3 + x2)
3(-4(3 + x2) + -3x * (3 + x2) + x2(3 + x2)) = 0
3((3 * -4 + x2 * -4) + -3x * (3 + x2) + x2(3 + x2)) = 0
3((-12 + -4x2) + -3x * (3 + x2) + x2(3 + x2)) = 0
3(-12 + -4x2 + (3 * -3x + x2 * -3x) + x2(3 + x2)) = 0
3(-12 + -4x2 + (-9x + -3x3) + x2(3 + x2)) = 0
3(-12 + -4x2 + -9x + -3x3 + (3 * x2 + x2 * x2)) = 0
3(-12 + -4x2 + -9x + -3x3 + (3x2 + x4)) = 0

Reorder the terms:
3(-12 + -9x + -4x2 + 3x2 + -3x3 + x4) = 0

Combine like terms: -4x2 + 3x2 = -1x2
3(-12 + -9x + -1x2 + -3x3 + x4) = 0
(-12 * 3 + -9x * 3 + -1x2 * 3 + -3x3 * 3 + x4 * 3) = 0
(-36 + -27x + -3x2 + -9x3 + 3x4) = 0

Solving
-36 + -27x + -3x2 + -9x3 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-12 + -9x + -1x2 + -3x3 + x4) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-12 + -9x + -1x2 + -3x3 + x4)' equal to zero and attempt to solve:

Simplifying
-12 + -9x + -1x2 + -3x3 + x4 = 0

Solving
-12 + -9x + -1x2 + -3x3 + x4 = 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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