1100=(30-2X)(20-X)(X)

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Solution for 1100=(30-2X)(20-X)(X) equation:


Simplifying
1100 = (30 + -2X)(20 + -1X)(X)

Reorder the terms for easier multiplication:
1100 = X(30 + -2X)(20 + -1X)

Multiply (30 + -2X) * (20 + -1X)
1100 = X(30(20 + -1X) + -2X * (20 + -1X))
1100 = X((20 * 30 + -1X * 30) + -2X * (20 + -1X))
1100 = X((600 + -30X) + -2X * (20 + -1X))
1100 = X(600 + -30X + (20 * -2X + -1X * -2X))
1100 = X(600 + -30X + (-40X + 2X2))

Combine like terms: -30X + -40X = -70X
1100 = X(600 + -70X + 2X2)
1100 = (600 * X + -70X * X + 2X2 * X)
1100 = (600X + -70X2 + 2X3)

Solving
1100 = 600X + -70X2 + 2X3

Solving for variable 'X'.

Reorder the terms:
1100 + -600X + 70X2 + -2X3 = 600X + -600X + -70X2 + 70X2 + 2X3 + -2X3

Combine like terms: 600X + -600X = 0
1100 + -600X + 70X2 + -2X3 = 0 + -70X2 + 70X2 + 2X3 + -2X3
1100 + -600X + 70X2 + -2X3 = -70X2 + 70X2 + 2X3 + -2X3

Combine like terms: -70X2 + 70X2 = 0
1100 + -600X + 70X2 + -2X3 = 0 + 2X3 + -2X3
1100 + -600X + 70X2 + -2X3 = 2X3 + -2X3

Combine like terms: 2X3 + -2X3 = 0
1100 + -600X + 70X2 + -2X3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(550 + -300X + 35X2 + -1X3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(550 + -300X + 35X2 + -1X3)' equal to zero and attempt to solve: Simplifying 550 + -300X + 35X2 + -1X3 = 0 Solving 550 + -300X + 35X2 + -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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