(x-8)(4x-6)(8x-5)=0

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Solution for (x-8)(4x-6)(8x-5)=0 equation: 


Simplifying
(x + -8)(4x + -6)(8x + -5) = 0

Reorder the terms:
(-8 + x)(4x + -6)(8x + -5) = 0

Reorder the terms:
(-8 + x)(-6 + 4x)(8x + -5) = 0

Reorder the terms:
(-8 + x)(-6 + 4x)(-5 + 8x) = 0

Multiply (-8 + x) * (-6 + 4x)
(-8(-6 + 4x) + x(-6 + 4x))(-5 + 8x) = 0
((-6 * -8 + 4x * -8) + x(-6 + 4x))(-5 + 8x) = 0
((48 + -32x) + x(-6 + 4x))(-5 + 8x) = 0
(48 + -32x + (-6 * x + 4x * x))(-5 + 8x) = 0
(48 + -32x + (-6x + 4x2))(-5 + 8x) = 0

Combine like terms: -32x + -6x = -38x
(48 + -38x + 4x2)(-5 + 8x) = 0

Multiply (48 + -38x + 4x2) * (-5 + 8x)
(48(-5 + 8x) + -38x * (-5 + 8x) + 4x2 * (-5 + 8x)) = 0
((-5 * 48 + 8x * 48) + -38x * (-5 + 8x) + 4x2 * (-5 + 8x)) = 0
((-240 + 384x) + -38x * (-5 + 8x) + 4x2 * (-5 + 8x)) = 0
(-240 + 384x + (-5 * -38x + 8x * -38x) + 4x2 * (-5 + 8x)) = 0
(-240 + 384x + (190x + -304x2) + 4x2 * (-5 + 8x)) = 0
(-240 + 384x + 190x + -304x2 + (-5 * 4x2 + 8x * 4x2)) = 0
(-240 + 384x + 190x + -304x2 + (-20x2 + 32x3)) = 0

Combine like terms: 384x + 190x = 574x
(-240 + 574x + -304x2 + -20x2 + 32x3) = 0

Combine like terms: -304x2 + -20x2 = -324x2
(-240 + 574x + -324x2 + 32x3) = 0

Solving
-240 + 574x + -324x2 + 32x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-120 + 287x + -162x2 + 16x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-120 + 287x + -162x2 + 16x3)' equal to zero and attempt to solve:

Simplifying
-120 + 287x + -162x2 + 16x3 = 0

Solving
-120 + 287x + -162x2 + 16x3 = 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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