100-50x=(10-2x)(10-2x)(4-x)

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Solution for 100-50x=(10-2x)(10-2x)(4-x) equation: 


Simplifying
100 + -50x = (10 + -2x)(10 + -2x)(4 + -1x)

Multiply (10 + -2x) * (10 + -2x)
100 + -50x = (10(10 + -2x) + -2x * (10 + -2x))(4 + -1x)
100 + -50x = ((10 * 10 + -2x * 10) + -2x * (10 + -2x))(4 + -1x)
100 + -50x = ((100 + -20x) + -2x * (10 + -2x))(4 + -1x)
100 + -50x = (100 + -20x + (10 * -2x + -2x * -2x))(4 + -1x)
100 + -50x = (100 + -20x + (-20x + 4x2))(4 + -1x)

Combine like terms: -20x + -20x = -40x
100 + -50x = (100 + -40x + 4x2)(4 + -1x)

Multiply (100 + -40x + 4x2) * (4 + -1x)
100 + -50x = (100(4 + -1x) + -40x * (4 + -1x) + 4x2 * (4 + -1x))
100 + -50x = ((4 * 100 + -1x * 100) + -40x * (4 + -1x) + 4x2 * (4 + -1x))
100 + -50x = ((400 + -100x) + -40x * (4 + -1x) + 4x2 * (4 + -1x))
100 + -50x = (400 + -100x + (4 * -40x + -1x * -40x) + 4x2 * (4 + -1x))
100 + -50x = (400 + -100x + (-160x + 40x2) + 4x2 * (4 + -1x))
100 + -50x = (400 + -100x + -160x + 40x2 + (4 * 4x2 + -1x * 4x2))
100 + -50x = (400 + -100x + -160x + 40x2 + (16x2 + -4x3))

Combine like terms: -100x + -160x = -260x
100 + -50x = (400 + -260x + 40x2 + 16x2 + -4x3)

Combine like terms: 40x2 + 16x2 = 56x2
100 + -50x = (400 + -260x + 56x2 + -4x3)

Solving
100 + -50x = 400 + -260x + 56x2 + -4x3

Solving for variable 'x'.

Reorder the terms:
100 + -400 + -50x + 260x + -56x2 + 4x3 = 400 + -260x + 56x2 + -4x3 + -400 + 260x + -56x2 + 4x3

Combine like terms: 100 + -400 = -300
-300 + -50x + 260x + -56x2 + 4x3 = 400 + -260x + 56x2 + -4x3 + -400 + 260x + -56x2 + 4x3

Combine like terms: -50x + 260x = 210x
-300 + 210x + -56x2 + 4x3 = 400 + -260x + 56x2 + -4x3 + -400 + 260x + -56x2 + 4x3

Reorder the terms:
-300 + 210x + -56x2 + 4x3 = 400 + -400 + -260x + 260x + 56x2 + -56x2 + -4x3 + 4x3

Combine like terms: 400 + -400 = 0
-300 + 210x + -56x2 + 4x3 = 0 + -260x + 260x + 56x2 + -56x2 + -4x3 + 4x3
-300 + 210x + -56x2 + 4x3 = -260x + 260x + 56x2 + -56x2 + -4x3 + 4x3

Combine like terms: -260x + 260x = 0
-300 + 210x + -56x2 + 4x3 = 0 + 56x2 + -56x2 + -4x3 + 4x3
-300 + 210x + -56x2 + 4x3 = 56x2 + -56x2 + -4x3 + 4x3

Combine like terms: 56x2 + -56x2 = 0
-300 + 210x + -56x2 + 4x3 = 0 + -4x3 + 4x3
-300 + 210x + -56x2 + 4x3 = -4x3 + 4x3

Combine like terms: -4x3 + 4x3 = 0
-300 + 210x + -56x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-150 + 105x + -28x2 + 2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-150 + 105x + -28x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-150 + 105x + -28x2 + 2x3 = 0

Solving
-150 + 105x + -28x2 + 2x3 = 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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