(x-1)(3x-5)(4x-8)=0

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Solution for (x-1)(3x-5)(4x-8)=0 equation:


Simplifying
(x + -1)(3x + -5)(4x + -8) = 0

Reorder the terms:
(-1 + x)(3x + -5)(4x + -8) = 0

Reorder the terms:
(-1 + x)(-5 + 3x)(4x + -8) = 0

Reorder the terms:
(-1 + x)(-5 + 3x)(-8 + 4x) = 0

Multiply (-1 + x) * (-5 + 3x)
(-1(-5 + 3x) + x(-5 + 3x))(-8 + 4x) = 0
((-5 * -1 + 3x * -1) + x(-5 + 3x))(-8 + 4x) = 0
((5 + -3x) + x(-5 + 3x))(-8 + 4x) = 0
(5 + -3x + (-5 * x + 3x * x))(-8 + 4x) = 0
(5 + -3x + (-5x + 3x2))(-8 + 4x) = 0

Combine like terms: -3x + -5x = -8x
(5 + -8x + 3x2)(-8 + 4x) = 0

Multiply (5 + -8x + 3x2) * (-8 + 4x)
(5(-8 + 4x) + -8x * (-8 + 4x) + 3x2 * (-8 + 4x)) = 0
((-8 * 5 + 4x * 5) + -8x * (-8 + 4x) + 3x2 * (-8 + 4x)) = 0
((-40 + 20x) + -8x * (-8 + 4x) + 3x2 * (-8 + 4x)) = 0
(-40 + 20x + (-8 * -8x + 4x * -8x) + 3x2 * (-8 + 4x)) = 0
(-40 + 20x + (64x + -32x2) + 3x2 * (-8 + 4x)) = 0
(-40 + 20x + 64x + -32x2 + (-8 * 3x2 + 4x * 3x2)) = 0
(-40 + 20x + 64x + -32x2 + (-24x2 + 12x3)) = 0

Combine like terms: 20x + 64x = 84x
(-40 + 84x + -32x2 + -24x2 + 12x3) = 0

Combine like terms: -32x2 + -24x2 = -56x2
(-40 + 84x + -56x2 + 12x3) = 0

Solving
-40 + 84x + -56x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-10 + 21x + -14x2 + 3x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-10 + 21x + -14x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
-10 + 21x + -14x2 + 3x3 = 0

Solving
-10 + 21x + -14x2 + 3x3 = 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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