(5-x)((3-x)(1-x)-16)+4(4(1-x))=0

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Solution for (5-x)((3-x)(1-x)-16)+4(4(1-x))=0 equation:


Simplifying
(5 + -1x)((3 + -1x)(1 + -1x) + -16) + 4(4(1 + -1x)) = 0

Multiply (3 + -1x) * (1 + -1x)
(5 + -1x)((3(1 + -1x) + -1x * (1 + -1x)) + -16) + 4(4(1 + -1x)) = 0
(5 + -1x)(((1 * 3 + -1x * 3) + -1x * (1 + -1x)) + -16) + 4(4(1 + -1x)) = 0
(5 + -1x)(((3 + -3x) + -1x * (1 + -1x)) + -16) + 4(4(1 + -1x)) = 0
(5 + -1x)((3 + -3x + (1 * -1x + -1x * -1x)) + -16) + 4(4(1 + -1x)) = 0
(5 + -1x)((3 + -3x + (-1x + 1x2)) + -16) + 4(4(1 + -1x)) = 0

Combine like terms: -3x + -1x = -4x
(5 + -1x)((3 + -4x + 1x2) + -16) + 4(4(1 + -1x)) = 0

Reorder the terms:
(5 + -1x)(3 + -16 + -4x + 1x2) + 4(4(1 + -1x)) = 0

Combine like terms: 3 + -16 = -13
(5 + -1x)(-13 + -4x + 1x2) + 4(4(1 + -1x)) = 0

Multiply (5 + -1x) * (-13 + -4x + 1x2)
(5(-13 + -4x + 1x2) + -1x * (-13 + -4x + 1x2)) + 4(4(1 + -1x)) = 0
((-13 * 5 + -4x * 5 + 1x2 * 5) + -1x * (-13 + -4x + 1x2)) + 4(4(1 + -1x)) = 0
((-65 + -20x + 5x2) + -1x * (-13 + -4x + 1x2)) + 4(4(1 + -1x)) = 0
(-65 + -20x + 5x2 + (-13 * -1x + -4x * -1x + 1x2 * -1x)) + 4(4(1 + -1x)) = 0
(-65 + -20x + 5x2 + (13x + 4x2 + -1x3)) + 4(4(1 + -1x)) = 0

Reorder the terms:
(-65 + -20x + 13x + 5x2 + 4x2 + -1x3) + 4(4(1 + -1x)) = 0

Combine like terms: -20x + 13x = -7x
(-65 + -7x + 5x2 + 4x2 + -1x3) + 4(4(1 + -1x)) = 0

Combine like terms: 5x2 + 4x2 = 9x2
(-65 + -7x + 9x2 + -1x3) + 4(4(1 + -1x)) = 0
-65 + -7x + 9x2 + -1x3 + 4((1 * 4 + -1x * 4)) = 0
-65 + -7x + 9x2 + -1x3 + 4((4 + -4x)) = 0
-65 + -7x + 9x2 + -1x3 + (4 * 4 + -4x * 4) = 0
-65 + -7x + 9x2 + -1x3 + (16 + -16x) = 0

Reorder the terms:
-65 + 16 + -7x + -16x + 9x2 + -1x3 = 0

Combine like terms: -65 + 16 = -49
-49 + -7x + -16x + 9x2 + -1x3 = 0

Combine like terms: -7x + -16x = -23x
-49 + -23x + 9x2 + -1x3 = 0

Solving
-49 + -23x + 9x2 + -1x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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