(x-1)(x+3)(2x-1)(3x+12)(x-7)=0

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Solution for (x-1)(x+3)(2x-1)(3x+12)(x-7)=0 equation: 


Simplifying
(x + -1)(x + 3)(2x + -1)(3x + 12)(x + -7) = 0

Reorder the terms:
(-1 + x)(x + 3)(2x + -1)(3x + 12)(x + -7) = 0

Reorder the terms:
(-1 + x)(3 + x)(2x + -1)(3x + 12)(x + -7) = 0

Reorder the terms:
(-1 + x)(3 + x)(-1 + 2x)(3x + 12)(x + -7) = 0

Reorder the terms:
(-1 + x)(3 + x)(-1 + 2x)(12 + 3x)(x + -7) = 0

Reorder the terms:
(-1 + x)(3 + x)(-1 + 2x)(12 + 3x)(-7 + x) = 0

Multiply (-1 + x) * (3 + x)
(-1(3 + x) + x(3 + x))(-1 + 2x)(12 + 3x)(-7 + x) = 0
((3 * -1 + x * -1) + x(3 + x))(-1 + 2x)(12 + 3x)(-7 + x) = 0
((-3 + -1x) + x(3 + x))(-1 + 2x)(12 + 3x)(-7 + x) = 0
(-3 + -1x + (3 * x + x * x))(-1 + 2x)(12 + 3x)(-7 + x) = 0
(-3 + -1x + (3x + x2))(-1 + 2x)(12 + 3x)(-7 + x) = 0

Combine like terms: -1x + 3x = 2x
(-3 + 2x + x2)(-1 + 2x)(12 + 3x)(-7 + x) = 0

Multiply (-3 + 2x + x2) * (-1 + 2x)
(-3(-1 + 2x) + 2x * (-1 + 2x) + x2(-1 + 2x))(12 + 3x)(-7 + x) = 0
((-1 * -3 + 2x * -3) + 2x * (-1 + 2x) + x2(-1 + 2x))(12 + 3x)(-7 + x) = 0
((3 + -6x) + 2x * (-1 + 2x) + x2(-1 + 2x))(12 + 3x)(-7 + x) = 0
(3 + -6x + (-1 * 2x + 2x * 2x) + x2(-1 + 2x))(12 + 3x)(-7 + x) = 0
(3 + -6x + (-2x + 4x2) + x2(-1 + 2x))(12 + 3x)(-7 + x) = 0
(3 + -6x + -2x + 4x2 + (-1 * x2 + 2x * x2))(12 + 3x)(-7 + x) = 0
(3 + -6x + -2x + 4x2 + (-1x2 + 2x3))(12 + 3x)(-7 + x) = 0

Combine like terms: -6x + -2x = -8x
(3 + -8x + 4x2 + -1x2 + 2x3)(12 + 3x)(-7 + x) = 0

Combine like terms: 4x2 + -1x2 = 3x2
(3 + -8x + 3x2 + 2x3)(12 + 3x)(-7 + x) = 0

Multiply (3 + -8x + 3x2 + 2x3) * (12 + 3x)
(3(12 + 3x) + -8x * (12 + 3x) + 3x2 * (12 + 3x) + 2x3 * (12 + 3x))(-7 + x) = 0
((12 * 3 + 3x * 3) + -8x * (12 + 3x) + 3x2 * (12 + 3x) + 2x3 * (12 + 3x))(-7 + x) = 0
((36 + 9x) + -8x * (12 + 3x) + 3x2 * (12 + 3x) + 2x3 * (12 + 3x))(-7 + x) = 0
(36 + 9x + (12 * -8x + 3x * -8x) + 3x2 * (12 + 3x) + 2x3 * (12 + 3x))(-7 + x) = 0
(36 + 9x + (-96x + -24x2) + 3x2 * (12 + 3x) + 2x3 * (12 + 3x))(-7 + x) = 0
(36 + 9x + -96x + -24x2 + (12 * 3x2 + 3x * 3x2) + 2x3 * (12 + 3x))(-7 + x) = 0
(36 + 9x + -96x + -24x2 + (36x2 + 9x3) + 2x3 * (12 + 3x))(-7 + x) = 0
(36 + 9x + -96x + -24x2 + 36x2 + 9x3 + (12 * 2x3 + 3x * 2x3))(-7 + x) = 0
(36 + 9x + -96x + -24x2 + 36x2 + 9x3 + (24x3 + 6x4))(-7 + x) = 0

Combine like terms: 9x + -96x = -87x
(36 + -87x + -24x2 + 36x2 + 9x3 + 24x3 + 6x4)(-7 + x) = 0

Combine like terms: -24x2 + 36x2 = 12x2
(36 + -87x + 12x2 + 9x3 + 24x3 + 6x4)(-7 + x) = 0

Combine like terms: 9x3 + 24x3 = 33x3
(36 + -87x + 12x2 + 33x3 + 6x4)(-7 + x) = 0

Multiply (36 + -87x + 12x2 + 33x3 + 6x4) * (-7 + x)
(36(-7 + x) + -87x * (-7 + x) + 12x2 * (-7 + x) + 33x3 * (-7 + x) + 6x4 * (-7 + x)) = 0
((-7 * 36 + x * 36) + -87x * (-7 + x) + 12x2 * (-7 + x) + 33x3 * (-7 + x) + 6x4 * (-7 + x)) = 0
((-252 + 36x) + -87x * (-7 + x) + 12x2 * (-7 + x) + 33x3 * (-7 + x) + 6x4 * (-7 + x)) = 0
(-252 + 36x + (-7 * -87x + x * -87x) + 12x2 * (-7 + x) + 33x3 * (-7 + x) + 6x4 * (-7 + x)) = 0
(-252 + 36x + (609x + -87x2) + 12x2 * (-7 + x) + 33x3 * (-7 + x) + 6x4 * (-7 + x)) = 0
(-252 + 36x + 609x + -87x2 + (-7 * 12x2 + x * 12x2) + 33x3 * (-7 + x) + 6x4 * (-7 + x)) = 0
(-252 + 36x + 609x + -87x2 + (-84x2 + 12x3) + 33x3 * (-7 + x) + 6x4 * (-7 + x)) = 0
(-252 + 36x + 609x + -87x2 + -84x2 + 12x3 + (-7 * 33x3 + x * 33x3) + 6x4 * (-7 + x)) = 0
(-252 + 36x + 609x + -87x2 + -84x2 + 12x3 + (-231x3 + 33x4) + 6x4 * (-7 + x)) = 0
(-252 + 36x + 609x + -87x2 + -84x2 + 12x3 + -231x3 + 33x4 + (-7 * 6x4 + x * 6x4)) = 0
(-252 + 36x + 609x + -87x2 + -84x2 + 12x3 + -231x3 + 33x4 + (-42x4 + 6x5)) = 0

Combine like terms: 36x + 609x = 645x
(-252 + 645x + -87x2 + -84x2 + 12x3 + -231x3 + 33x4 + -42x4 + 6x5) = 0

Combine like terms: -87x2 + -84x2 = -171x2
(-252 + 645x + -171x2 + 12x3 + -231x3 + 33x4 + -42x4 + 6x5) = 0

Combine like terms: 12x3 + -231x3 = -219x3
(-252 + 645x + -171x2 + -219x3 + 33x4 + -42x4 + 6x5) = 0

Combine like terms: 33x4 + -42x4 = -9x4
(-252 + 645x + -171x2 + -219x3 + -9x4 + 6x5) = 0

Solving
-252 + 645x + -171x2 + -219x3 + -9x4 + 6x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-84 + 215x + -57x2 + -73x3 + -3x4 + 2x5) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-84 + 215x + -57x2 + -73x3 + -3x4 + 2x5)' equal to zero and attempt to solve:

Simplifying
-84 + 215x + -57x2 + -73x3 + -3x4 + 2x5 = 0

Solving
-84 + 215x + -57x2 + -73x3 + -3x4 + 2x5 = 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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