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

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


Simplifying
(2x + 3)(2x2 + -4x + 2) = 0

Reorder the terms:
(3 + 2x)(2x2 + -4x + 2) = 0

Reorder the terms:
(3 + 2x)(2 + -4x + 2x2) = 0

Multiply (3 + 2x) * (2 + -4x + 2x2)
(3(2 + -4x + 2x2) + 2x * (2 + -4x + 2x2)) = 0
((2 * 3 + -4x * 3 + 2x2 * 3) + 2x * (2 + -4x + 2x2)) = 0
((6 + -12x + 6x2) + 2x * (2 + -4x + 2x2)) = 0
(6 + -12x + 6x2 + (2 * 2x + -4x * 2x + 2x2 * 2x)) = 0
(6 + -12x + 6x2 + (4x + -8x2 + 4x3)) = 0

Reorder the terms:
(6 + -12x + 4x + 6x2 + -8x2 + 4x3) = 0

Combine like terms: -12x + 4x = -8x
(6 + -8x + 6x2 + -8x2 + 4x3) = 0

Combine like terms: 6x2 + -8x2 = -2x2
(6 + -8x + -2x2 + 4x3) = 0

Solving
6 + -8x + -2x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -4x + -1x2 + 2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + -4x + -1x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
3 + -4x + -1x2 + 2x3 = 0

Solving
3 + -4x + -1x2 + 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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