(3x-1)(4x-1)(6x-1)(12x-1)=5

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Solution for (3x-1)(4x-1)(6x-1)(12x-1)=5 equation:


Simplifying
(3x + -1)(4x + -1)(6x + -1)(12x + -1) = 5

Reorder the terms:
(-1 + 3x)(4x + -1)(6x + -1)(12x + -1) = 5

Reorder the terms:
(-1 + 3x)(-1 + 4x)(6x + -1)(12x + -1) = 5

Reorder the terms:
(-1 + 3x)(-1 + 4x)(-1 + 6x)(12x + -1) = 5

Reorder the terms:
(-1 + 3x)(-1 + 4x)(-1 + 6x)(-1 + 12x) = 5

Multiply (-1 + 3x) * (-1 + 4x)
(-1(-1 + 4x) + 3x * (-1 + 4x))(-1 + 6x)(-1 + 12x) = 5
((-1 * -1 + 4x * -1) + 3x * (-1 + 4x))(-1 + 6x)(-1 + 12x) = 5
((1 + -4x) + 3x * (-1 + 4x))(-1 + 6x)(-1 + 12x) = 5
(1 + -4x + (-1 * 3x + 4x * 3x))(-1 + 6x)(-1 + 12x) = 5
(1 + -4x + (-3x + 12x2))(-1 + 6x)(-1 + 12x) = 5

Combine like terms: -4x + -3x = -7x
(1 + -7x + 12x2)(-1 + 6x)(-1 + 12x) = 5

Multiply (1 + -7x + 12x2) * (-1 + 6x)
(1(-1 + 6x) + -7x * (-1 + 6x) + 12x2 * (-1 + 6x))(-1 + 12x) = 5
((-1 * 1 + 6x * 1) + -7x * (-1 + 6x) + 12x2 * (-1 + 6x))(-1 + 12x) = 5
((-1 + 6x) + -7x * (-1 + 6x) + 12x2 * (-1 + 6x))(-1 + 12x) = 5
(-1 + 6x + (-1 * -7x + 6x * -7x) + 12x2 * (-1 + 6x))(-1 + 12x) = 5
(-1 + 6x + (7x + -42x2) + 12x2 * (-1 + 6x))(-1 + 12x) = 5
(-1 + 6x + 7x + -42x2 + (-1 * 12x2 + 6x * 12x2))(-1 + 12x) = 5
(-1 + 6x + 7x + -42x2 + (-12x2 + 72x3))(-1 + 12x) = 5

Combine like terms: 6x + 7x = 13x
(-1 + 13x + -42x2 + -12x2 + 72x3)(-1 + 12x) = 5

Combine like terms: -42x2 + -12x2 = -54x2
(-1 + 13x + -54x2 + 72x3)(-1 + 12x) = 5

Multiply (-1 + 13x + -54x2 + 72x3) * (-1 + 12x)
(-1(-1 + 12x) + 13x * (-1 + 12x) + -54x2 * (-1 + 12x) + 72x3 * (-1 + 12x)) = 5
((-1 * -1 + 12x * -1) + 13x * (-1 + 12x) + -54x2 * (-1 + 12x) + 72x3 * (-1 + 12x)) = 5
((1 + -12x) + 13x * (-1 + 12x) + -54x2 * (-1 + 12x) + 72x3 * (-1 + 12x)) = 5
(1 + -12x + (-1 * 13x + 12x * 13x) + -54x2 * (-1 + 12x) + 72x3 * (-1 + 12x)) = 5
(1 + -12x + (-13x + 156x2) + -54x2 * (-1 + 12x) + 72x3 * (-1 + 12x)) = 5
(1 + -12x + -13x + 156x2 + (-1 * -54x2 + 12x * -54x2) + 72x3 * (-1 + 12x)) = 5
(1 + -12x + -13x + 156x2 + (54x2 + -648x3) + 72x3 * (-1 + 12x)) = 5
(1 + -12x + -13x + 156x2 + 54x2 + -648x3 + (-1 * 72x3 + 12x * 72x3)) = 5
(1 + -12x + -13x + 156x2 + 54x2 + -648x3 + (-72x3 + 864x4)) = 5

Combine like terms: -12x + -13x = -25x
(1 + -25x + 156x2 + 54x2 + -648x3 + -72x3 + 864x4) = 5

Combine like terms: 156x2 + 54x2 = 210x2
(1 + -25x + 210x2 + -648x3 + -72x3 + 864x4) = 5

Combine like terms: -648x3 + -72x3 = -720x3
(1 + -25x + 210x2 + -720x3 + 864x4) = 5

Solving
1 + -25x + 210x2 + -720x3 + 864x4 = 5

Solving for variable 'x'.

Reorder the terms:
1 + -5 + -25x + 210x2 + -720x3 + 864x4 = 5 + -5

Combine like terms: 1 + -5 = -4
-4 + -25x + 210x2 + -720x3 + 864x4 = 5 + -5

Combine like terms: 5 + -5 = 0
-4 + -25x + 210x2 + -720x3 + 864x4 = 0

The solution to this equation could not be determined.

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