(6-3x)(7x+21)(2x+8)=0

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Solution for (6-3x)(7x+21)(2x+8)=0 equation: 


Simplifying
(6 + -3x)(7x + 21)(2x + 8) = 0

Reorder the terms:
(6 + -3x)(21 + 7x)(2x + 8) = 0

Reorder the terms:
(6 + -3x)(21 + 7x)(8 + 2x) = 0

Multiply (6 + -3x) * (21 + 7x)
(6(21 + 7x) + -3x * (21 + 7x))(8 + 2x) = 0
((21 * 6 + 7x * 6) + -3x * (21 + 7x))(8 + 2x) = 0
((126 + 42x) + -3x * (21 + 7x))(8 + 2x) = 0
(126 + 42x + (21 * -3x + 7x * -3x))(8 + 2x) = 0
(126 + 42x + (-63x + -21x2))(8 + 2x) = 0

Combine like terms: 42x + -63x = -21x
(126 + -21x + -21x2)(8 + 2x) = 0

Multiply (126 + -21x + -21x2) * (8 + 2x)
(126(8 + 2x) + -21x * (8 + 2x) + -21x2 * (8 + 2x)) = 0
((8 * 126 + 2x * 126) + -21x * (8 + 2x) + -21x2 * (8 + 2x)) = 0
((1008 + 252x) + -21x * (8 + 2x) + -21x2 * (8 + 2x)) = 0
(1008 + 252x + (8 * -21x + 2x * -21x) + -21x2 * (8 + 2x)) = 0
(1008 + 252x + (-168x + -42x2) + -21x2 * (8 + 2x)) = 0
(1008 + 252x + -168x + -42x2 + (8 * -21x2 + 2x * -21x2)) = 0
(1008 + 252x + -168x + -42x2 + (-168x2 + -42x3)) = 0

Combine like terms: 252x + -168x = 84x
(1008 + 84x + -42x2 + -168x2 + -42x3) = 0

Combine like terms: -42x2 + -168x2 = -210x2
(1008 + 84x + -210x2 + -42x3) = 0

Solving
1008 + 84x + -210x2 + -42x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '42'.
42(24 + 2x + -5x2 + -1x3) = 0

Ignore the factor 42.

Subproblem 1
Set the factor '(24 + 2x + -5x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
24 + 2x + -5x2 + -1x3 = 0

Solving
24 + 2x + -5x2 + -1x3 = 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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