((3x^2)+6x+9)(8x-4)=0

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Solution for ((3x^2)+6x+9)(8x-4)=0 equation:


Simplifying
((3x2) + 6x + 9)(8x + -4) = 0

Reorder the terms:
(9 + 6x + (3x2))(8x + -4) = 0

Reorder the terms:
(9 + 6x + (3x2))(-4 + 8x) = 0

Multiply (9 + 6x + (3x2)) * (-4 + 8x)
(9(-4 + 8x) + 6x * (-4 + 8x) + (3x2)(-4 + 8x)) = 0
((-4 * 9 + 8x * 9) + 6x * (-4 + 8x) + (3x2)(-4 + 8x)) = 0
((-36 + 72x) + 6x * (-4 + 8x) + (3x2)(-4 + 8x)) = 0
(-36 + 72x + (-4 * 6x + 8x * 6x) + (3x2)(-4 + 8x)) = 0
(-36 + 72x + (-24x + 48x2) + (3x2)(-4 + 8x)) = 0
(-36 + 72x + -24x + 48x2 + (-4 * 3x2 + 8x * 3x2)) = 0
(-36 + 72x + -24x + 48x2 + (-12x2 + 24x3)) = 0

Combine like terms: 72x + -24x = 48x
(-36 + 48x + 48x2 + -12x2 + 24x3) = 0

Combine like terms: 48x2 + -12x2 = 36x2
(-36 + 48x + 36x2 + 24x3) = 0

Solving
-36 + 48x + 36x2 + 24x3 = 0

Solving for variable 'x'.

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

Ignore the factor 12.

Subproblem 1

Set the factor '(-3 + 4x + 3x2 + 2x3)' equal to zero and attempt to solve: Simplifying -3 + 4x + 3x2 + 2x3 = 0 Solving -3 + 4x + 3x2 + 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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