1120=(2x)(24-2x)(18-2x)

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Solution for 1120=(2x)(24-2x)(18-2x) equation: 


Simplifying
1120 = (2x)(24 + -2x)(18 + -2x)

Remove parenthesis around (2x)
1120 = 2x(24 + -2x)(18 + -2x)

Multiply (24 + -2x) * (18 + -2x)
1120 = 2x(24(18 + -2x) + -2x * (18 + -2x))
1120 = 2x((18 * 24 + -2x * 24) + -2x * (18 + -2x))
1120 = 2x((432 + -48x) + -2x * (18 + -2x))
1120 = 2x(432 + -48x + (18 * -2x + -2x * -2x))
1120 = 2x(432 + -48x + (-36x + 4x2))

Combine like terms: -48x + -36x = -84x
1120 = 2x(432 + -84x + 4x2)
1120 = (432 * 2x + -84x * 2x + 4x2 * 2x)
1120 = (864x + -168x2 + 8x3)

Solving
1120 = 864x + -168x2 + 8x3

Solving for variable 'x'.

Reorder the terms:
1120 + -864x + 168x2 + -8x3 = 864x + -864x + -168x2 + 168x2 + 8x3 + -8x3

Combine like terms: 864x + -864x = 0
1120 + -864x + 168x2 + -8x3 = 0 + -168x2 + 168x2 + 8x3 + -8x3
1120 + -864x + 168x2 + -8x3 = -168x2 + 168x2 + 8x3 + -8x3

Combine like terms: -168x2 + 168x2 = 0
1120 + -864x + 168x2 + -8x3 = 0 + 8x3 + -8x3
1120 + -864x + 168x2 + -8x3 = 8x3 + -8x3

Combine like terms: 8x3 + -8x3 = 0
1120 + -864x + 168x2 + -8x3 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(140 + -108x + 21x2 + -1x3) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(140 + -108x + 21x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
140 + -108x + 21x2 + -1x3 = 0

Solving
140 + -108x + 21x2 + -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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