(4-2x)(1-3x)(x+6)=0

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Solution for (4-2x)(1-3x)(x+6)=0 equation: 


Simplifying
(4 + -2x)(1 + -3x)(x + 6) = 0

Reorder the terms:
(4 + -2x)(1 + -3x)(6 + x) = 0

Multiply (4 + -2x) * (1 + -3x)
(4(1 + -3x) + -2x * (1 + -3x))(6 + x) = 0
((1 * 4 + -3x * 4) + -2x * (1 + -3x))(6 + x) = 0
((4 + -12x) + -2x * (1 + -3x))(6 + x) = 0
(4 + -12x + (1 * -2x + -3x * -2x))(6 + x) = 0
(4 + -12x + (-2x + 6x2))(6 + x) = 0

Combine like terms: -12x + -2x = -14x
(4 + -14x + 6x2)(6 + x) = 0

Multiply (4 + -14x + 6x2) * (6 + x)
(4(6 + x) + -14x * (6 + x) + 6x2 * (6 + x)) = 0
((6 * 4 + x * 4) + -14x * (6 + x) + 6x2 * (6 + x)) = 0
((24 + 4x) + -14x * (6 + x) + 6x2 * (6 + x)) = 0
(24 + 4x + (6 * -14x + x * -14x) + 6x2 * (6 + x)) = 0
(24 + 4x + (-84x + -14x2) + 6x2 * (6 + x)) = 0
(24 + 4x + -84x + -14x2 + (6 * 6x2 + x * 6x2)) = 0
(24 + 4x + -84x + -14x2 + (36x2 + 6x3)) = 0

Combine like terms: 4x + -84x = -80x
(24 + -80x + -14x2 + 36x2 + 6x3) = 0

Combine like terms: -14x2 + 36x2 = 22x2
(24 + -80x + 22x2 + 6x3) = 0

Solving
24 + -80x + 22x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -40x + 11x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(12 + -40x + 11x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
12 + -40x + 11x2 + 3x3 = 0

Solving
12 + -40x + 11x2 + 3x3 = 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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