(5-x)((5-x)(6-x)-2)-((6-x)-2)-8+2x=

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Solution for (5-x)((5-x)(6-x)-2)-((6-x)-2)-8+2x= equation: 


Simplifying
(5 + -1x)((5 + -1x)(6 + -1x) + -2) + -1((6 + -1x) + -2) + -8 + 2x = 0

Multiply (5 + -1x) * (6 + -1x)
(5 + -1x)((5(6 + -1x) + -1x * (6 + -1x)) + -2) + -1((6 + -1x) + -2) + -8 + 2x = 0
(5 + -1x)(((6 * 5 + -1x * 5) + -1x * (6 + -1x)) + -2) + -1((6 + -1x) + -2) + -8 + 2x = 0
(5 + -1x)(((30 + -5x) + -1x * (6 + -1x)) + -2) + -1((6 + -1x) + -2) + -8 + 2x = 0
(5 + -1x)((30 + -5x + (6 * -1x + -1x * -1x)) + -2) + -1((6 + -1x) + -2) + -8 + 2x = 0
(5 + -1x)((30 + -5x + (-6x + 1x2)) + -2) + -1((6 + -1x) + -2) + -8 + 2x = 0

Combine like terms: -5x + -6x = -11x
(5 + -1x)((30 + -11x + 1x2) + -2) + -1((6 + -1x) + -2) + -8 + 2x = 0

Reorder the terms:
(5 + -1x)(30 + -2 + -11x + 1x2) + -1((6 + -1x) + -2) + -8 + 2x = 0

Combine like terms: 30 + -2 = 28
(5 + -1x)(28 + -11x + 1x2) + -1((6 + -1x) + -2) + -8 + 2x = 0

Multiply (5 + -1x) * (28 + -11x + 1x2)
(5(28 + -11x + 1x2) + -1x * (28 + -11x + 1x2)) + -1((6 + -1x) + -2) + -8 + 2x = 0
((28 * 5 + -11x * 5 + 1x2 * 5) + -1x * (28 + -11x + 1x2)) + -1((6 + -1x) + -2) + -8 + 2x = 0
((140 + -55x + 5x2) + -1x * (28 + -11x + 1x2)) + -1((6 + -1x) + -2) + -8 + 2x = 0
(140 + -55x + 5x2 + (28 * -1x + -11x * -1x + 1x2 * -1x)) + -1((6 + -1x) + -2) + -8 + 2x = 0
(140 + -55x + 5x2 + (-28x + 11x2 + -1x3)) + -1((6 + -1x) + -2) + -8 + 2x = 0

Reorder the terms:
(140 + -55x + -28x + 5x2 + 11x2 + -1x3) + -1((6 + -1x) + -2) + -8 + 2x = 0

Combine like terms: -55x + -28x = -83x
(140 + -83x + 5x2 + 11x2 + -1x3) + -1((6 + -1x) + -2) + -8 + 2x = 0

Combine like terms: 5x2 + 11x2 = 16x2
(140 + -83x + 16x2 + -1x3) + -1((6 + -1x) + -2) + -8 + 2x = 0

Remove parenthesis around (6 + -1x)
140 + -83x + 16x2 + -1x3 + -1(6 + -1x + -2) + -8 + 2x = 0

Reorder the terms:
140 + -83x + 16x2 + -1x3 + -1(6 + -2 + -1x) + -8 + 2x = 0

Combine like terms: 6 + -2 = 4
140 + -83x + 16x2 + -1x3 + -1(4 + -1x) + -8 + 2x = 0
140 + -83x + 16x2 + -1x3 + (4 * -1 + -1x * -1) + -8 + 2x = 0
140 + -83x + 16x2 + -1x3 + (-4 + 1x) + -8 + 2x = 0

Reorder the terms:
140 + -4 + -8 + -83x + 1x + 2x + 16x2 + -1x3 = 0

Combine like terms: 140 + -4 = 136
136 + -8 + -83x + 1x + 2x + 16x2 + -1x3 = 0

Combine like terms: 136 + -8 = 128
128 + -83x + 1x + 2x + 16x2 + -1x3 = 0

Combine like terms: -83x + 1x = -82x
128 + -82x + 2x + 16x2 + -1x3 = 0

Combine like terms: -82x + 2x = -80x
128 + -80x + 16x2 + -1x3 = 0

Solving
128 + -80x + 16x2 + -1x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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