(x^3-5)(2x-7)(8x-92)=0

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Solution for (x^3-5)(2x-7)(8x-92)=0 equation: 


Simplifying
(x3 + -5)(2x + -7)(8x + -92) = 0

Reorder the terms:
(-5 + x3)(2x + -7)(8x + -92) = 0

Reorder the terms:
(-5 + x3)(-7 + 2x)(8x + -92) = 0

Reorder the terms:
(-5 + x3)(-7 + 2x)(-92 + 8x) = 0

Multiply (-5 + x3) * (-7 + 2x)
(-5(-7 + 2x) + x3(-7 + 2x))(-92 + 8x) = 0
((-7 * -5 + 2x * -5) + x3(-7 + 2x))(-92 + 8x) = 0
((35 + -10x) + x3(-7 + 2x))(-92 + 8x) = 0
(35 + -10x + (-7 * x3 + 2x * x3))(-92 + 8x) = 0
(35 + -10x + (-7x3 + 2x4))(-92 + 8x) = 0
(35 + -10x + -7x3 + 2x4)(-92 + 8x) = 0

Multiply (35 + -10x + -7x3 + 2x4) * (-92 + 8x)
(35(-92 + 8x) + -10x * (-92 + 8x) + -7x3 * (-92 + 8x) + 2x4 * (-92 + 8x)) = 0
((-92 * 35 + 8x * 35) + -10x * (-92 + 8x) + -7x3 * (-92 + 8x) + 2x4 * (-92 + 8x)) = 0
((-3220 + 280x) + -10x * (-92 + 8x) + -7x3 * (-92 + 8x) + 2x4 * (-92 + 8x)) = 0
(-3220 + 280x + (-92 * -10x + 8x * -10x) + -7x3 * (-92 + 8x) + 2x4 * (-92 + 8x)) = 0
(-3220 + 280x + (920x + -80x2) + -7x3 * (-92 + 8x) + 2x4 * (-92 + 8x)) = 0
(-3220 + 280x + 920x + -80x2 + (-92 * -7x3 + 8x * -7x3) + 2x4 * (-92 + 8x)) = 0
(-3220 + 280x + 920x + -80x2 + (644x3 + -56x4) + 2x4 * (-92 + 8x)) = 0
(-3220 + 280x + 920x + -80x2 + 644x3 + -56x4 + (-92 * 2x4 + 8x * 2x4)) = 0
(-3220 + 280x + 920x + -80x2 + 644x3 + -56x4 + (-184x4 + 16x5)) = 0

Combine like terms: 280x + 920x = 1200x
(-3220 + 1200x + -80x2 + 644x3 + -56x4 + -184x4 + 16x5) = 0

Combine like terms: -56x4 + -184x4 = -240x4
(-3220 + 1200x + -80x2 + 644x3 + -240x4 + 16x5) = 0

Solving
-3220 + 1200x + -80x2 + 644x3 + -240x4 + 16x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-805 + 300x + -20x2 + 161x3 + -60x4 + 4x5) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-805 + 300x + -20x2 + 161x3 + -60x4 + 4x5)' equal to zero and attempt to solve:

Simplifying
-805 + 300x + -20x2 + 161x3 + -60x4 + 4x5 = 0

Solving
-805 + 300x + -20x2 + 161x3 + -60x4 + 4x5 = 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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