6(x+3)(x+1)(x-4)=0

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Solution for 6(x+3)(x+1)(x-4)=0 equation: 


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

Reorder the terms:
6(3 + x)(x + 1)(x + -4) = 0

Reorder the terms:
6(3 + x)(1 + x)(x + -4) = 0

Reorder the terms:
6(3 + x)(1 + x)(-4 + x) = 0

Multiply (3 + x) * (1 + x)
6(3(1 + x) + x(1 + x))(-4 + x) = 0
6((1 * 3 + x * 3) + x(1 + x))(-4 + x) = 0
6((3 + 3x) + x(1 + x))(-4 + x) = 0
6(3 + 3x + (1 * x + x * x))(-4 + x) = 0
6(3 + 3x + (1x + x2))(-4 + x) = 0

Combine like terms: 3x + 1x = 4x
6(3 + 4x + x2)(-4 + x) = 0

Multiply (3 + 4x + x2) * (-4 + x)
6(3(-4 + x) + 4x * (-4 + x) + x2(-4 + x)) = 0
6((-4 * 3 + x * 3) + 4x * (-4 + x) + x2(-4 + x)) = 0
6((-12 + 3x) + 4x * (-4 + x) + x2(-4 + x)) = 0
6(-12 + 3x + (-4 * 4x + x * 4x) + x2(-4 + x)) = 0
6(-12 + 3x + (-16x + 4x2) + x2(-4 + x)) = 0
6(-12 + 3x + -16x + 4x2 + (-4 * x2 + x * x2)) = 0
6(-12 + 3x + -16x + 4x2 + (-4x2 + x3)) = 0

Combine like terms: 3x + -16x = -13x
6(-12 + -13x + 4x2 + -4x2 + x3) = 0

Combine like terms: 4x2 + -4x2 = 0
6(-12 + -13x + 0 + x3) = 0
6(-12 + -13x + x3) = 0
(-12 * 6 + -13x * 6 + x3 * 6) = 0
(-72 + -78x + 6x3) = 0

Solving
-72 + -78x + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-12 + -13x + x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-12 + -13x + x3)' equal to zero and attempt to solve:

Simplifying
-12 + -13x + x3 = 0

Solving
-12 + -13x + 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.

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