(x-5)(4x-1)(2x-10)(x-1)=0

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Solution for (x-5)(4x-1)(2x-10)(x-1)=0 equation: 


Simplifying
(x + -5)(4x + -1)(2x + -10)(x + -1) = 0

Reorder the terms:
(-5 + x)(4x + -1)(2x + -10)(x + -1) = 0

Reorder the terms:
(-5 + x)(-1 + 4x)(2x + -10)(x + -1) = 0

Reorder the terms:
(-5 + x)(-1 + 4x)(-10 + 2x)(x + -1) = 0

Reorder the terms:
(-5 + x)(-1 + 4x)(-10 + 2x)(-1 + x) = 0

Multiply (-5 + x) * (-1 + 4x)
(-5(-1 + 4x) + x(-1 + 4x))(-10 + 2x)(-1 + x) = 0
((-1 * -5 + 4x * -5) + x(-1 + 4x))(-10 + 2x)(-1 + x) = 0
((5 + -20x) + x(-1 + 4x))(-10 + 2x)(-1 + x) = 0
(5 + -20x + (-1 * x + 4x * x))(-10 + 2x)(-1 + x) = 0
(5 + -20x + (-1x + 4x2))(-10 + 2x)(-1 + x) = 0

Combine like terms: -20x + -1x = -21x
(5 + -21x + 4x2)(-10 + 2x)(-1 + x) = 0

Multiply (5 + -21x + 4x2) * (-10 + 2x)
(5(-10 + 2x) + -21x * (-10 + 2x) + 4x2 * (-10 + 2x))(-1 + x) = 0
((-10 * 5 + 2x * 5) + -21x * (-10 + 2x) + 4x2 * (-10 + 2x))(-1 + x) = 0
((-50 + 10x) + -21x * (-10 + 2x) + 4x2 * (-10 + 2x))(-1 + x) = 0
(-50 + 10x + (-10 * -21x + 2x * -21x) + 4x2 * (-10 + 2x))(-1 + x) = 0
(-50 + 10x + (210x + -42x2) + 4x2 * (-10 + 2x))(-1 + x) = 0
(-50 + 10x + 210x + -42x2 + (-10 * 4x2 + 2x * 4x2))(-1 + x) = 0
(-50 + 10x + 210x + -42x2 + (-40x2 + 8x3))(-1 + x) = 0

Combine like terms: 10x + 210x = 220x
(-50 + 220x + -42x2 + -40x2 + 8x3)(-1 + x) = 0

Combine like terms: -42x2 + -40x2 = -82x2
(-50 + 220x + -82x2 + 8x3)(-1 + x) = 0

Multiply (-50 + 220x + -82x2 + 8x3) * (-1 + x)
(-50(-1 + x) + 220x * (-1 + x) + -82x2 * (-1 + x) + 8x3 * (-1 + x)) = 0
((-1 * -50 + x * -50) + 220x * (-1 + x) + -82x2 * (-1 + x) + 8x3 * (-1 + x)) = 0
((50 + -50x) + 220x * (-1 + x) + -82x2 * (-1 + x) + 8x3 * (-1 + x)) = 0
(50 + -50x + (-1 * 220x + x * 220x) + -82x2 * (-1 + x) + 8x3 * (-1 + x)) = 0
(50 + -50x + (-220x + 220x2) + -82x2 * (-1 + x) + 8x3 * (-1 + x)) = 0
(50 + -50x + -220x + 220x2 + (-1 * -82x2 + x * -82x2) + 8x3 * (-1 + x)) = 0
(50 + -50x + -220x + 220x2 + (82x2 + -82x3) + 8x3 * (-1 + x)) = 0
(50 + -50x + -220x + 220x2 + 82x2 + -82x3 + (-1 * 8x3 + x * 8x3)) = 0
(50 + -50x + -220x + 220x2 + 82x2 + -82x3 + (-8x3 + 8x4)) = 0

Combine like terms: -50x + -220x = -270x
(50 + -270x + 220x2 + 82x2 + -82x3 + -8x3 + 8x4) = 0

Combine like terms: 220x2 + 82x2 = 302x2
(50 + -270x + 302x2 + -82x3 + -8x3 + 8x4) = 0

Combine like terms: -82x3 + -8x3 = -90x3
(50 + -270x + 302x2 + -90x3 + 8x4) = 0

Solving
50 + -270x + 302x2 + -90x3 + 8x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + -135x + 151x2 + -45x3 + 4x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(25 + -135x + 151x2 + -45x3 + 4x4)' equal to zero and attempt to solve:

Simplifying
25 + -135x + 151x2 + -45x3 + 4x4 = 0

Solving
25 + -135x + 151x2 + -45x3 + 4x4 = 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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