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

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


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

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

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

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

Multiply (-3 + 6x) * (-3 + x2)
(-3(-3 + x2) + 6x * (-3 + x2))(4 + x) = 0
((-3 * -3 + x2 * -3) + 6x * (-3 + x2))(4 + x) = 0
((9 + -3x2) + 6x * (-3 + x2))(4 + x) = 0
(9 + -3x2 + (-3 * 6x + x2 * 6x))(4 + x) = 0
(9 + -3x2 + (-18x + 6x3))(4 + x) = 0

Reorder the terms:
(9 + -18x + -3x2 + 6x3)(4 + x) = 0
(9 + -18x + -3x2 + 6x3)(4 + x) = 0

Multiply (9 + -18x + -3x2 + 6x3) * (4 + x)
(9(4 + x) + -18x * (4 + x) + -3x2 * (4 + x) + 6x3 * (4 + x)) = 0
((4 * 9 + x * 9) + -18x * (4 + x) + -3x2 * (4 + x) + 6x3 * (4 + x)) = 0
((36 + 9x) + -18x * (4 + x) + -3x2 * (4 + x) + 6x3 * (4 + x)) = 0
(36 + 9x + (4 * -18x + x * -18x) + -3x2 * (4 + x) + 6x3 * (4 + x)) = 0
(36 + 9x + (-72x + -18x2) + -3x2 * (4 + x) + 6x3 * (4 + x)) = 0
(36 + 9x + -72x + -18x2 + (4 * -3x2 + x * -3x2) + 6x3 * (4 + x)) = 0
(36 + 9x + -72x + -18x2 + (-12x2 + -3x3) + 6x3 * (4 + x)) = 0
(36 + 9x + -72x + -18x2 + -12x2 + -3x3 + (4 * 6x3 + x * 6x3)) = 0
(36 + 9x + -72x + -18x2 + -12x2 + -3x3 + (24x3 + 6x4)) = 0

Combine like terms: 9x + -72x = -63x
(36 + -63x + -18x2 + -12x2 + -3x3 + 24x3 + 6x4) = 0

Combine like terms: -18x2 + -12x2 = -30x2
(36 + -63x + -30x2 + -3x3 + 24x3 + 6x4) = 0

Combine like terms: -3x3 + 24x3 = 21x3
(36 + -63x + -30x2 + 21x3 + 6x4) = 0

Solving
36 + -63x + -30x2 + 21x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(12 + -21x + -10x2 + 7x3 + 2x4) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(12 + -21x + -10x2 + 7x3 + 2x4)' equal to zero and attempt to solve:

Simplifying
12 + -21x + -10x2 + 7x3 + 2x4 = 0

Solving
12 + -21x + -10x2 + 7x3 + 2x4 = 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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