(4x+2)(6x^2+2x+7)=0

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Solution for (4x+2)(6x^2+2x+7)=0 equation:


Simplifying
(4x + 2)(6x2 + 2x + 7) = 0

Reorder the terms:
(2 + 4x)(6x2 + 2x + 7) = 0

Reorder the terms:
(2 + 4x)(7 + 2x + 6x2) = 0

Multiply (2 + 4x) * (7 + 2x + 6x2)
(2(7 + 2x + 6x2) + 4x * (7 + 2x + 6x2)) = 0
((7 * 2 + 2x * 2 + 6x2 * 2) + 4x * (7 + 2x + 6x2)) = 0
((14 + 4x + 12x2) + 4x * (7 + 2x + 6x2)) = 0
(14 + 4x + 12x2 + (7 * 4x + 2x * 4x + 6x2 * 4x)) = 0
(14 + 4x + 12x2 + (28x + 8x2 + 24x3)) = 0

Reorder the terms:
(14 + 4x + 28x + 12x2 + 8x2 + 24x3) = 0

Combine like terms: 4x + 28x = 32x
(14 + 32x + 12x2 + 8x2 + 24x3) = 0

Combine like terms: 12x2 + 8x2 = 20x2
(14 + 32x + 20x2 + 24x3) = 0

Solving
14 + 32x + 20x2 + 24x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + 16x + 10x2 + 12x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(7 + 16x + 10x2 + 12x3)' equal to zero and attempt to solve: Simplifying 7 + 16x + 10x2 + 12x3 = 0 Solving 7 + 16x + 10x2 + 12x3 = 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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