(3-x)(2x+8)(2x+1)=0

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Solution for (3-x)(2x+8)(2x+1)=0 equation: 


Simplifying
(3 + -1x)(2x + 8)(2x + 1) = 0

Reorder the terms:
(3 + -1x)(8 + 2x)(2x + 1) = 0

Reorder the terms:
(3 + -1x)(8 + 2x)(1 + 2x) = 0

Multiply (3 + -1x) * (8 + 2x)
(3(8 + 2x) + -1x * (8 + 2x))(1 + 2x) = 0
((8 * 3 + 2x * 3) + -1x * (8 + 2x))(1 + 2x) = 0
((24 + 6x) + -1x * (8 + 2x))(1 + 2x) = 0
(24 + 6x + (8 * -1x + 2x * -1x))(1 + 2x) = 0
(24 + 6x + (-8x + -2x2))(1 + 2x) = 0

Combine like terms: 6x + -8x = -2x
(24 + -2x + -2x2)(1 + 2x) = 0

Multiply (24 + -2x + -2x2) * (1 + 2x)
(24(1 + 2x) + -2x * (1 + 2x) + -2x2 * (1 + 2x)) = 0
((1 * 24 + 2x * 24) + -2x * (1 + 2x) + -2x2 * (1 + 2x)) = 0
((24 + 48x) + -2x * (1 + 2x) + -2x2 * (1 + 2x)) = 0
(24 + 48x + (1 * -2x + 2x * -2x) + -2x2 * (1 + 2x)) = 0
(24 + 48x + (-2x + -4x2) + -2x2 * (1 + 2x)) = 0
(24 + 48x + -2x + -4x2 + (1 * -2x2 + 2x * -2x2)) = 0
(24 + 48x + -2x + -4x2 + (-2x2 + -4x3)) = 0

Combine like terms: 48x + -2x = 46x
(24 + 46x + -4x2 + -2x2 + -4x3) = 0

Combine like terms: -4x2 + -2x2 = -6x2
(24 + 46x + -6x2 + -4x3) = 0

Solving
24 + 46x + -6x2 + -4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + 23x + -3x2 + -2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(12 + 23x + -3x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
12 + 23x + -3x2 + -2x3 = 0

Solving
12 + 23x + -3x2 + -2x3 = 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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