8(x-3)(x-5)(2x-1)=0

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Solution for 8(x-3)(x-5)(2x-1)=0 equation: 


Simplifying
8(x + -3)(x + -5)(2x + -1) = 0

Reorder the terms:
8(-3 + x)(x + -5)(2x + -1) = 0

Reorder the terms:
8(-3 + x)(-5 + x)(2x + -1) = 0

Reorder the terms:
8(-3 + x)(-5 + x)(-1 + 2x) = 0

Multiply (-3 + x) * (-5 + x)
8(-3(-5 + x) + x(-5 + x))(-1 + 2x) = 0
8((-5 * -3 + x * -3) + x(-5 + x))(-1 + 2x) = 0
8((15 + -3x) + x(-5 + x))(-1 + 2x) = 0
8(15 + -3x + (-5 * x + x * x))(-1 + 2x) = 0
8(15 + -3x + (-5x + x2))(-1 + 2x) = 0

Combine like terms: -3x + -5x = -8x
8(15 + -8x + x2)(-1 + 2x) = 0

Multiply (15 + -8x + x2) * (-1 + 2x)
8(15(-1 + 2x) + -8x * (-1 + 2x) + x2(-1 + 2x)) = 0
8((-1 * 15 + 2x * 15) + -8x * (-1 + 2x) + x2(-1 + 2x)) = 0
8((-15 + 30x) + -8x * (-1 + 2x) + x2(-1 + 2x)) = 0
8(-15 + 30x + (-1 * -8x + 2x * -8x) + x2(-1 + 2x)) = 0
8(-15 + 30x + (8x + -16x2) + x2(-1 + 2x)) = 0
8(-15 + 30x + 8x + -16x2 + (-1 * x2 + 2x * x2)) = 0
8(-15 + 30x + 8x + -16x2 + (-1x2 + 2x3)) = 0

Combine like terms: 30x + 8x = 38x
8(-15 + 38x + -16x2 + -1x2 + 2x3) = 0

Combine like terms: -16x2 + -1x2 = -17x2
8(-15 + 38x + -17x2 + 2x3) = 0
(-15 * 8 + 38x * 8 + -17x2 * 8 + 2x3 * 8) = 0
(-120 + 304x + -136x2 + 16x3) = 0

Solving
-120 + 304x + -136x2 + 16x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-15 + 38x + -17x2 + 2x3) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(-15 + 38x + -17x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-15 + 38x + -17x2 + 2x3 = 0

Solving
-15 + 38x + -17x2 + 2x3 = 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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