40=x(10-2x)(8-2x)

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Solution for 40=x(10-2x)(8-2x) equation: 


Simplifying
40 = x(10 + -2x)(8 + -2x)

Multiply (10 + -2x) * (8 + -2x)
40 = x(10(8 + -2x) + -2x * (8 + -2x))
40 = x((8 * 10 + -2x * 10) + -2x * (8 + -2x))
40 = x((80 + -20x) + -2x * (8 + -2x))
40 = x(80 + -20x + (8 * -2x + -2x * -2x))
40 = x(80 + -20x + (-16x + 4x2))

Combine like terms: -20x + -16x = -36x
40 = x(80 + -36x + 4x2)
40 = (80 * x + -36x * x + 4x2 * x)
40 = (80x + -36x2 + 4x3)

Solving
40 = 80x + -36x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
40 + -80x + 36x2 + -4x3 = 80x + -80x + -36x2 + 36x2 + 4x3 + -4x3

Combine like terms: 80x + -80x = 0
40 + -80x + 36x2 + -4x3 = 0 + -36x2 + 36x2 + 4x3 + -4x3
40 + -80x + 36x2 + -4x3 = -36x2 + 36x2 + 4x3 + -4x3

Combine like terms: -36x2 + 36x2 = 0
40 + -80x + 36x2 + -4x3 = 0 + 4x3 + -4x3
40 + -80x + 36x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
40 + -80x + 36x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(10 + -20x + 9x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(10 + -20x + 9x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
10 + -20x + 9x2 + -1x3 = 0

Solving
10 + -20x + 9x2 + -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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