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

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


Simplifying
(x2 + 3x + 9)(2x3 + 3x + -4)(4x2 + 2x2 + -8x) = 0

Reorder the terms:
(9 + 3x + x2)(2x3 + 3x + -4)(4x2 + 2x2 + -8x) = 0

Reorder the terms:
(9 + 3x + x2)(-4 + 3x + 2x3)(4x2 + 2x2 + -8x) = 0

Reorder the terms:
(9 + 3x + x2)(-4 + 3x + 2x3)(-8x + 4x2 + 2x2) = 0

Combine like terms: 4x2 + 2x2 = 6x2
(9 + 3x + x2)(-4 + 3x + 2x3)(-8x + 6x2) = 0

Multiply (9 + 3x + x2) * (-4 + 3x + 2x3)
(9(-4 + 3x + 2x3) + 3x * (-4 + 3x + 2x3) + x2(-4 + 3x + 2x3))(-8x + 6x2) = 0
((-4 * 9 + 3x * 9 + 2x3 * 9) + 3x * (-4 + 3x + 2x3) + x2(-4 + 3x + 2x3))(-8x + 6x2) = 0
((-36 + 27x + 18x3) + 3x * (-4 + 3x + 2x3) + x2(-4 + 3x + 2x3))(-8x + 6x2) = 0
(-36 + 27x + 18x3 + (-4 * 3x + 3x * 3x + 2x3 * 3x) + x2(-4 + 3x + 2x3))(-8x + 6x2) = 0
(-36 + 27x + 18x3 + (-12x + 9x2 + 6x4) + x2(-4 + 3x + 2x3))(-8x + 6x2) = 0
(-36 + 27x + 18x3 + -12x + 9x2 + 6x4 + (-4 * x2 + 3x * x2 + 2x3 * x2))(-8x + 6x2) = 0
(-36 + 27x + 18x3 + -12x + 9x2 + 6x4 + (-4x2 + 3x3 + 2x5))(-8x + 6x2) = 0

Reorder the terms:
(-36 + 27x + -12x + 9x2 + -4x2 + 18x3 + 3x3 + 6x4 + 2x5)(-8x + 6x2) = 0

Combine like terms: 27x + -12x = 15x
(-36 + 15x + 9x2 + -4x2 + 18x3 + 3x3 + 6x4 + 2x5)(-8x + 6x2) = 0

Combine like terms: 9x2 + -4x2 = 5x2
(-36 + 15x + 5x2 + 18x3 + 3x3 + 6x4 + 2x5)(-8x + 6x2) = 0

Combine like terms: 18x3 + 3x3 = 21x3
(-36 + 15x + 5x2 + 21x3 + 6x4 + 2x5)(-8x + 6x2) = 0

Multiply (-36 + 15x + 5x2 + 21x3 + 6x4 + 2x5) * (-8x + 6x2)
(-36(-8x + 6x2) + 15x * (-8x + 6x2) + 5x2 * (-8x + 6x2) + 21x3 * (-8x + 6x2) + 6x4 * (-8x + 6x2) + 2x5 * (-8x + 6x2)) = 0
((-8x * -36 + 6x2 * -36) + 15x * (-8x + 6x2) + 5x2 * (-8x + 6x2) + 21x3 * (-8x + 6x2) + 6x4 * (-8x + 6x2) + 2x5 * (-8x + 6x2)) = 0
((288x + -216x2) + 15x * (-8x + 6x2) + 5x2 * (-8x + 6x2) + 21x3 * (-8x + 6x2) + 6x4 * (-8x + 6x2) + 2x5 * (-8x + 6x2)) = 0
(288x + -216x2 + (-8x * 15x + 6x2 * 15x) + 5x2 * (-8x + 6x2) + 21x3 * (-8x + 6x2) + 6x4 * (-8x + 6x2) + 2x5 * (-8x + 6x2)) = 0
(288x + -216x2 + (-120x2 + 90x3) + 5x2 * (-8x + 6x2) + 21x3 * (-8x + 6x2) + 6x4 * (-8x + 6x2) + 2x5 * (-8x + 6x2)) = 0
(288x + -216x2 + -120x2 + 90x3 + (-8x * 5x2 + 6x2 * 5x2) + 21x3 * (-8x + 6x2) + 6x4 * (-8x + 6x2) + 2x5 * (-8x + 6x2)) = 0
(288x + -216x2 + -120x2 + 90x3 + (-40x3 + 30x4) + 21x3 * (-8x + 6x2) + 6x4 * (-8x + 6x2) + 2x5 * (-8x + 6x2)) = 0
(288x + -216x2 + -120x2 + 90x3 + -40x3 + 30x4 + (-8x * 21x3 + 6x2 * 21x3) + 6x4 * (-8x + 6x2) + 2x5 * (-8x + 6x2)) = 0
(288x + -216x2 + -120x2 + 90x3 + -40x3 + 30x4 + (-168x4 + 126x5) + 6x4 * (-8x + 6x2) + 2x5 * (-8x + 6x2)) = 0
(288x + -216x2 + -120x2 + 90x3 + -40x3 + 30x4 + -168x4 + 126x5 + (-8x * 6x4 + 6x2 * 6x4) + 2x5 * (-8x + 6x2)) = 0
(288x + -216x2 + -120x2 + 90x3 + -40x3 + 30x4 + -168x4 + 126x5 + (-48x5 + 36x6) + 2x5 * (-8x + 6x2)) = 0
(288x + -216x2 + -120x2 + 90x3 + -40x3 + 30x4 + -168x4 + 126x5 + -48x5 + 36x6 + (-8x * 2x5 + 6x2 * 2x5)) = 0
(288x + -216x2 + -120x2 + 90x3 + -40x3 + 30x4 + -168x4 + 126x5 + -48x5 + 36x6 + (-16x6 + 12x7)) = 0

Combine like terms: -216x2 + -120x2 = -336x2
(288x + -336x2 + 90x3 + -40x3 + 30x4 + -168x4 + 126x5 + -48x5 + 36x6 + -16x6 + 12x7) = 0

Combine like terms: 90x3 + -40x3 = 50x3
(288x + -336x2 + 50x3 + 30x4 + -168x4 + 126x5 + -48x5 + 36x6 + -16x6 + 12x7) = 0

Combine like terms: 30x4 + -168x4 = -138x4
(288x + -336x2 + 50x3 + -138x4 + 126x5 + -48x5 + 36x6 + -16x6 + 12x7) = 0

Combine like terms: 126x5 + -48x5 = 78x5
(288x + -336x2 + 50x3 + -138x4 + 78x5 + 36x6 + -16x6 + 12x7) = 0

Combine like terms: 36x6 + -16x6 = 20x6
(288x + -336x2 + 50x3 + -138x4 + 78x5 + 20x6 + 12x7) = 0

Solving
288x + -336x2 + 50x3 + -138x4 + 78x5 + 20x6 + 12x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(144 + -168x + 25x2 + -69x3 + 39x4 + 10x5 + 6x6) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(144 + -168x + 25x2 + -69x3 + 39x4 + 10x5 + 6x6)' equal to zero and attempt to solve: Simplifying 144 + -168x + 25x2 + -69x3 + 39x4 + 10x5 + 6x6 = 0 Solving 144 + -168x + 25x2 + -69x3 + 39x4 + 10x5 + 6x6 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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