(2x-3)(2x+4)(2x-1)=0

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Solution for (2x-3)(2x+4)(2x-1)=0 equation: 


Simplifying
(2x + -3)(2x + 4)(2x + -1) = 0

Reorder the terms:
(-3 + 2x)(2x + 4)(2x + -1) = 0

Reorder the terms:
(-3 + 2x)(4 + 2x)(2x + -1) = 0

Reorder the terms:
(-3 + 2x)(4 + 2x)(-1 + 2x) = 0

Multiply (-3 + 2x) * (4 + 2x)
(-3(4 + 2x) + 2x * (4 + 2x))(-1 + 2x) = 0
((4 * -3 + 2x * -3) + 2x * (4 + 2x))(-1 + 2x) = 0
((-12 + -6x) + 2x * (4 + 2x))(-1 + 2x) = 0
(-12 + -6x + (4 * 2x + 2x * 2x))(-1 + 2x) = 0
(-12 + -6x + (8x + 4x2))(-1 + 2x) = 0

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

Multiply (-12 + 2x + 4x2) * (-1 + 2x)
(-12(-1 + 2x) + 2x * (-1 + 2x) + 4x2 * (-1 + 2x)) = 0
((-1 * -12 + 2x * -12) + 2x * (-1 + 2x) + 4x2 * (-1 + 2x)) = 0
((12 + -24x) + 2x * (-1 + 2x) + 4x2 * (-1 + 2x)) = 0
(12 + -24x + (-1 * 2x + 2x * 2x) + 4x2 * (-1 + 2x)) = 0
(12 + -24x + (-2x + 4x2) + 4x2 * (-1 + 2x)) = 0
(12 + -24x + -2x + 4x2 + (-1 * 4x2 + 2x * 4x2)) = 0
(12 + -24x + -2x + 4x2 + (-4x2 + 8x3)) = 0

Combine like terms: -24x + -2x = -26x
(12 + -26x + 4x2 + -4x2 + 8x3) = 0

Combine like terms: 4x2 + -4x2 = 0
(12 + -26x + 0 + 8x3) = 0
(12 + -26x + 8x3) = 0

Solving
12 + -26x + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -13x + 4x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(6 + -13x + 4x3)' equal to zero and attempt to solve:

Simplifying
6 + -13x + 4x3 = 0

Solving
6 + -13x + 4x3 = 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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