(4x-2)(6x^2+28x+16)=0

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Solution for (4x-2)(6x^2+28x+16)=0 equation:


Simplifying
(4x + -2)(6x2 + 28x + 16) = 0

Reorder the terms:
(-2 + 4x)(6x2 + 28x + 16) = 0

Reorder the terms:
(-2 + 4x)(16 + 28x + 6x2) = 0

Multiply (-2 + 4x) * (16 + 28x + 6x2)
(-2(16 + 28x + 6x2) + 4x * (16 + 28x + 6x2)) = 0
((16 * -2 + 28x * -2 + 6x2 * -2) + 4x * (16 + 28x + 6x2)) = 0
((-32 + -56x + -12x2) + 4x * (16 + 28x + 6x2)) = 0
(-32 + -56x + -12x2 + (16 * 4x + 28x * 4x + 6x2 * 4x)) = 0
(-32 + -56x + -12x2 + (64x + 112x2 + 24x3)) = 0

Reorder the terms:
(-32 + -56x + 64x + -12x2 + 112x2 + 24x3) = 0

Combine like terms: -56x + 64x = 8x
(-32 + 8x + -12x2 + 112x2 + 24x3) = 0

Combine like terms: -12x2 + 112x2 = 100x2
(-32 + 8x + 100x2 + 24x3) = 0

Solving
-32 + 8x + 100x2 + 24x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-8 + 2x + 25x2 + 6x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-8 + 2x + 25x2 + 6x3)' equal to zero and attempt to solve: Simplifying -8 + 2x + 25x2 + 6x3 = 0 Solving -8 + 2x + 25x2 + 6x3 = 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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