(4x-2)((2x^2)-6x+3)=

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Solution for (4x-2)((2x^2)-6x+3)= equation:


Simplifying
(4x + -2)((2x2) + -6x + 3) = 0

Reorder the terms:
(-2 + 4x)((2x2) + -6x + 3) = 0

Reorder the terms:
(-2 + 4x)(3 + -6x + (2x2)) = 0

Multiply (-2 + 4x) * (3 + -6x + (2x2))
(-2(3 + -6x + (2x2)) + 4x * (3 + -6x + (2x2))) = 0
((3 * -2 + -6x * -2 + (2x2) * -2) + 4x * (3 + -6x + (2x2))) = 0
((-6 + 12x + -4x2) + 4x * (3 + -6x + (2x2))) = 0
(-6 + 12x + -4x2 + (3 * 4x + -6x * 4x + (2x2) * 4x)) = 0
(-6 + 12x + -4x2 + (12x + -24x2 + 8x3)) = 0

Reorder the terms:
(-6 + 12x + 12x + -4x2 + -24x2 + 8x3) = 0

Combine like terms: 12x + 12x = 24x
(-6 + 24x + -4x2 + -24x2 + 8x3) = 0

Combine like terms: -4x2 + -24x2 = -28x2
(-6 + 24x + -28x2 + 8x3) = 0

Solving
-6 + 24x + -28x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 12x + -14x2 + 4x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + 12x + -14x2 + 4x3)' equal to zero and attempt to solve: Simplifying -3 + 12x + -14x2 + 4x3 = 0 Solving -3 + 12x + -14x2 + 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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