(1-x)(-5-x)(4-x)-54+54-6(-5-x)(3)-6(1-x)-(4-x)(3)(-3)=0

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Solution for (1-x)(-5-x)(4-x)-54+54-6(-5-x)(3)-6(1-x)-(4-x)(3)(-3)=0 equation: 


Simplifying
(1 + -1x)(-5 + -1x)(4 + -1x) + -54 + 54 + -6(-5 + -1x)(3) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0

Multiply (1 + -1x) * (-5 + -1x)
(1(-5 + -1x) + -1x * (-5 + -1x))(4 + -1x) + -54 + 54 + -6(-5 + -1x)(3) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0
((-5 * 1 + -1x * 1) + -1x * (-5 + -1x))(4 + -1x) + -54 + 54 + -6(-5 + -1x)(3) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0
((-5 + -1x) + -1x * (-5 + -1x))(4 + -1x) + -54 + 54 + -6(-5 + -1x)(3) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0
(-5 + -1x + (-5 * -1x + -1x * -1x))(4 + -1x) + -54 + 54 + -6(-5 + -1x)(3) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0
(-5 + -1x + (5x + 1x2))(4 + -1x) + -54 + 54 + -6(-5 + -1x)(3) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0

Combine like terms: -1x + 5x = 4x
(-5 + 4x + 1x2)(4 + -1x) + -54 + 54 + -6(-5 + -1x)(3) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0

Multiply (-5 + 4x + 1x2) * (4 + -1x)
(-5(4 + -1x) + 4x * (4 + -1x) + 1x2 * (4 + -1x)) + -54 + 54 + -6(-5 + -1x)(3) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0
((4 * -5 + -1x * -5) + 4x * (4 + -1x) + 1x2 * (4 + -1x)) + -54 + 54 + -6(-5 + -1x)(3) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0
((-20 + 5x) + 4x * (4 + -1x) + 1x2 * (4 + -1x)) + -54 + 54 + -6(-5 + -1x)(3) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0
(-20 + 5x + (4 * 4x + -1x * 4x) + 1x2 * (4 + -1x)) + -54 + 54 + -6(-5 + -1x)(3) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0
(-20 + 5x + (16x + -4x2) + 1x2 * (4 + -1x)) + -54 + 54 + -6(-5 + -1x)(3) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0
(-20 + 5x + 16x + -4x2 + (4 * 1x2 + -1x * 1x2)) + -54 + 54 + -6(-5 + -1x)(3) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0
(-20 + 5x + 16x + -4x2 + (4x2 + -1x3)) + -54 + 54 + -6(-5 + -1x)(3) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0

Combine like terms: 5x + 16x = 21x
(-20 + 21x + -4x2 + 4x2 + -1x3) + -54 + 54 + -6(-5 + -1x)(3) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0

Combine like terms: -4x2 + 4x2 = 0
(-20 + 21x + 0 + -1x3) + -54 + 54 + -6(-5 + -1x)(3) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0
(-20 + 21x + -1x3) + -54 + 54 + -6(-5 + -1x)(3) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0

Reorder the terms for easier multiplication:
-20 + 21x + -1x3 + -54 + 54 + -6 * 3(-5 + -1x) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0

Multiply -6 * 3
-20 + 21x + -1x3 + -54 + 54 + -18(-5 + -1x) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0
-20 + 21x + -1x3 + -54 + 54 + (-5 * -18 + -1x * -18) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0
-20 + 21x + -1x3 + -54 + 54 + (90 + 18x) + -6(1 + -1x) + -1(4 + -1x)(3)(-3) = 0
-20 + 21x + -1x3 + -54 + 54 + 90 + 18x + (1 * -6 + -1x * -6) + -1(4 + -1x)(3)(-3) = 0
-20 + 21x + -1x3 + -54 + 54 + 90 + 18x + (-6 + 6x) + -1(4 + -1x)(3)(-3) = 0

Reorder the terms for easier multiplication:
-20 + 21x + -1x3 + -54 + 54 + 90 + 18x + -6 + 6x + -1 * 3 * -3(4 + -1x) = 0

Multiply -1 * 3
-20 + 21x + -1x3 + -54 + 54 + 90 + 18x + -6 + 6x + -3 * -3(4 + -1x) = 0

Multiply -3 * -3
-20 + 21x + -1x3 + -54 + 54 + 90 + 18x + -6 + 6x + 9(4 + -1x) = 0
-20 + 21x + -1x3 + -54 + 54 + 90 + 18x + -6 + 6x + (4 * 9 + -1x * 9) = 0
-20 + 21x + -1x3 + -54 + 54 + 90 + 18x + -6 + 6x + (36 + -9x) = 0

Reorder the terms:
-20 + -54 + 54 + 90 + -6 + 36 + 21x + 18x + 6x + -9x + -1x3 = 0

Combine like terms: -20 + -54 = -74
-74 + 54 + 90 + -6 + 36 + 21x + 18x + 6x + -9x + -1x3 = 0

Combine like terms: -74 + 54 = -20
-20 + 90 + -6 + 36 + 21x + 18x + 6x + -9x + -1x3 = 0

Combine like terms: -20 + 90 = 70
70 + -6 + 36 + 21x + 18x + 6x + -9x + -1x3 = 0

Combine like terms: 70 + -6 = 64
64 + 36 + 21x + 18x + 6x + -9x + -1x3 = 0

Combine like terms: 64 + 36 = 100
100 + 21x + 18x + 6x + -9x + -1x3 = 0

Combine like terms: 21x + 18x = 39x
100 + 39x + 6x + -9x + -1x3 = 0

Combine like terms: 39x + 6x = 45x
100 + 45x + -9x + -1x3 = 0

Combine like terms: 45x + -9x = 36x
100 + 36x + -1x3 = 0

Solving
100 + 36x + -1x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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