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

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


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

Reorder the terms for easier multiplication:
1120 = x(18 + -2x)(24 + -2x)

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

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

Solving
1120 = 432x + -84x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
1120 + -432x + 84x2 + -4x3 = 432x + -432x + -84x2 + 84x2 + 4x3 + -4x3

Combine like terms: 432x + -432x = 0
1120 + -432x + 84x2 + -4x3 = 0 + -84x2 + 84x2 + 4x3 + -4x3
1120 + -432x + 84x2 + -4x3 = -84x2 + 84x2 + 4x3 + -4x3

Combine like terms: -84x2 + 84x2 = 0
1120 + -432x + 84x2 + -4x3 = 0 + 4x3 + -4x3
1120 + -432x + 84x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
1120 + -432x + 84x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(280 + -108x + 21x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(280 + -108x + 21x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
280 + -108x + 21x2 + -1x3 = 0

Solving
280 + -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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