(x^2+2x+3)*(x^2+2x-3)*(x^2+2x+3)*(x^2+2x-3)=0

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Solution for (x^2+2x+3)*(x^2+2x-3)*(x^2+2x+3)*(x^2+2x-3)=0 equation:


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

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

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

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

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

Multiply (3 + 2x + x2) * (-3 + 2x + x2)
(3(-3 + 2x + x2) + 2x * (-3 + 2x + x2) + x2(-3 + 2x + x2))(3 + 2x + x2)(-3 + 2x + x2) = 0
((-3 * 3 + 2x * 3 + x2 * 3) + 2x * (-3 + 2x + x2) + x2(-3 + 2x + x2))(3 + 2x + x2)(-3 + 2x + x2) = 0
((-9 + 6x + 3x2) + 2x * (-3 + 2x + x2) + x2(-3 + 2x + x2))(3 + 2x + x2)(-3 + 2x + x2) = 0
(-9 + 6x + 3x2 + (-3 * 2x + 2x * 2x + x2 * 2x) + x2(-3 + 2x + x2))(3 + 2x + x2)(-3 + 2x + x2) = 0
(-9 + 6x + 3x2 + (-6x + 4x2 + 2x3) + x2(-3 + 2x + x2))(3 + 2x + x2)(-3 + 2x + x2) = 0
(-9 + 6x + 3x2 + -6x + 4x2 + 2x3 + (-3 * x2 + 2x * x2 + x2 * x2))(3 + 2x + x2)(-3 + 2x + x2) = 0
(-9 + 6x + 3x2 + -6x + 4x2 + 2x3 + (-3x2 + 2x3 + x4))(3 + 2x + x2)(-3 + 2x + x2) = 0

Reorder the terms:
(-9 + 6x + -6x + 3x2 + 4x2 + -3x2 + 2x3 + 2x3 + x4)(3 + 2x + x2)(-3 + 2x + x2) = 0

Combine like terms: 6x + -6x = 0
(-9 + 0 + 3x2 + 4x2 + -3x2 + 2x3 + 2x3 + x4)(3 + 2x + x2)(-3 + 2x + x2) = 0
(-9 + 3x2 + 4x2 + -3x2 + 2x3 + 2x3 + x4)(3 + 2x + x2)(-3 + 2x + x2) = 0

Combine like terms: 3x2 + 4x2 = 7x2
(-9 + 7x2 + -3x2 + 2x3 + 2x3 + x4)(3 + 2x + x2)(-3 + 2x + x2) = 0

Combine like terms: 7x2 + -3x2 = 4x2
(-9 + 4x2 + 2x3 + 2x3 + x4)(3 + 2x + x2)(-3 + 2x + x2) = 0

Combine like terms: 2x3 + 2x3 = 4x3
(-9 + 4x2 + 4x3 + x4)(3 + 2x + x2)(-3 + 2x + x2) = 0

Multiply (-9 + 4x2 + 4x3 + x4) * (3 + 2x + x2)
(-9(3 + 2x + x2) + 4x2 * (3 + 2x + x2) + 4x3 * (3 + 2x + x2) + x4(3 + 2x + x2))(-3 + 2x + x2) = 0
((3 * -9 + 2x * -9 + x2 * -9) + 4x2 * (3 + 2x + x2) + 4x3 * (3 + 2x + x2) + x4(3 + 2x + x2))(-3 + 2x + x2) = 0
((-27 + -18x + -9x2) + 4x2 * (3 + 2x + x2) + 4x3 * (3 + 2x + x2) + x4(3 + 2x + x2))(-3 + 2x + x2) = 0
(-27 + -18x + -9x2 + (3 * 4x2 + 2x * 4x2 + x2 * 4x2) + 4x3 * (3 + 2x + x2) + x4(3 + 2x + x2))(-3 + 2x + x2) = 0
(-27 + -18x + -9x2 + (12x2 + 8x3 + 4x4) + 4x3 * (3 + 2x + x2) + x4(3 + 2x + x2))(-3 + 2x + x2) = 0
(-27 + -18x + -9x2 + 12x2 + 8x3 + 4x4 + (3 * 4x3 + 2x * 4x3 + x2 * 4x3) + x4(3 + 2x + x2))(-3 + 2x + x2) = 0
(-27 + -18x + -9x2 + 12x2 + 8x3 + 4x4 + (12x3 + 8x4 + 4x5) + x4(3 + 2x + x2))(-3 + 2x + x2) = 0
(-27 + -18x + -9x2 + 12x2 + 8x3 + 4x4 + 12x3 + 8x4 + 4x5 + (3 * x4 + 2x * x4 + x2 * x4))(-3 + 2x + x2) = 0
(-27 + -18x + -9x2 + 12x2 + 8x3 + 4x4 + 12x3 + 8x4 + 4x5 + (3x4 + 2x5 + x6))(-3 + 2x + x2) = 0

Reorder the terms:
(-27 + -18x + -9x2 + 12x2 + 8x3 + 12x3 + 4x4 + 8x4 + 3x4 + 4x5 + 2x5 + x6)(-3 + 2x + x2) = 0

Combine like terms: -9x2 + 12x2 = 3x2
(-27 + -18x + 3x2 + 8x3 + 12x3 + 4x4 + 8x4 + 3x4 + 4x5 + 2x5 + x6)(-3 + 2x + x2) = 0

Combine like terms: 8x3 + 12x3 = 20x3
(-27 + -18x + 3x2 + 20x3 + 4x4 + 8x4 + 3x4 + 4x5 + 2x5 + x6)(-3 + 2x + x2) = 0

Combine like terms: 4x4 + 8x4 = 12x4
(-27 + -18x + 3x2 + 20x3 + 12x4 + 3x4 + 4x5 + 2x5 + x6)(-3 + 2x + x2) = 0

Combine like terms: 12x4 + 3x4 = 15x4
(-27 + -18x + 3x2 + 20x3 + 15x4 + 4x5 + 2x5 + x6)(-3 + 2x + x2) = 0

Combine like terms: 4x5 + 2x5 = 6x5
(-27 + -18x + 3x2 + 20x3 + 15x4 + 6x5 + x6)(-3 + 2x + x2) = 0

Multiply (-27 + -18x + 3x2 + 20x3 + 15x4 + 6x5 + x6) * (-3 + 2x + x2)
(-27(-3 + 2x + x2) + -18x * (-3 + 2x + x2) + 3x2 * (-3 + 2x + x2) + 20x3 * (-3 + 2x + x2) + 15x4 * (-3 + 2x + x2) + 6x5 * (-3 + 2x + x2) + x6(-3 + 2x + x2)) = 0
((-3 * -27 + 2x * -27 + x2 * -27) + -18x * (-3 + 2x + x2) + 3x2 * (-3 + 2x + x2) + 20x3 * (-3 + 2x + x2) + 15x4 * (-3 + 2x + x2) + 6x5 * (-3 + 2x + x2) + x6(-3 + 2x + x2)) = 0
((81 + -54x + -27x2) + -18x * (-3 + 2x + x2) + 3x2 * (-3 + 2x + x2) + 20x3 * (-3 + 2x + x2) + 15x4 * (-3 + 2x + x2) + 6x5 * (-3 + 2x + x2) + x6(-3 + 2x + x2)) = 0
(81 + -54x + -27x2 + (-3 * -18x + 2x * -18x + x2 * -18x) + 3x2 * (-3 + 2x + x2) + 20x3 * (-3 + 2x + x2) + 15x4 * (-3 + 2x + x2) + 6x5 * (-3 + 2x + x2) + x6(-3 + 2x + x2)) = 0
(81 + -54x + -27x2 + (54x + -36x2 + -18x3) + 3x2 * (-3 + 2x + x2) + 20x3 * (-3 + 2x + x2) + 15x4 * (-3 + 2x + x2) + 6x5 * (-3 + 2x + x2) + x6(-3 + 2x + x2)) = 0
(81 + -54x + -27x2 + 54x + -36x2 + -18x3 + (-3 * 3x2 + 2x * 3x2 + x2 * 3x2) + 20x3 * (-3 + 2x + x2) + 15x4 * (-3 + 2x + x2) + 6x5 * (-3 + 2x + x2) + x6(-3 + 2x + x2)) = 0
(81 + -54x + -27x2 + 54x + -36x2 + -18x3 + (-9x2 + 6x3 + 3x4) + 20x3 * (-3 + 2x + x2) + 15x4 * (-3 + 2x + x2) + 6x5 * (-3 + 2x + x2) + x6(-3 + 2x + x2)) = 0
(81 + -54x + -27x2 + 54x + -36x2 + -18x3 + -9x2 + 6x3 + 3x4 + (-3 * 20x3 + 2x * 20x3 + x2 * 20x3) + 15x4 * (-3 + 2x + x2) + 6x5 * (-3 + 2x + x2) + x6(-3 + 2x + x2)) = 0
(81 + -54x + -27x2 + 54x + -36x2 + -18x3 + -9x2 + 6x3 + 3x4 + (-60x3 + 40x4 + 20x5) + 15x4 * (-3 + 2x + x2) + 6x5 * (-3 + 2x + x2) + x6(-3 + 2x + x2)) = 0
(81 + -54x + -27x2 + 54x + -36x2 + -18x3 + -9x2 + 6x3 + 3x4 + -60x3 + 40x4 + 20x5 + (-3 * 15x4 + 2x * 15x4 + x2 * 15x4) + 6x5 * (-3 + 2x + x2) + x6(-3 + 2x + x2)) = 0
(81 + -54x + -27x2 + 54x + -36x2 + -18x3 + -9x2 + 6x3 + 3x4 + -60x3 + 40x4 + 20x5 + (-45x4 + 30x5 + 15x6) + 6x5 * (-3 + 2x + x2) + x6(-3 + 2x + x2)) = 0
(81 + -54x + -27x2 + 54x + -36x2 + -18x3 + -9x2 + 6x3 + 3x4 + -60x3 + 40x4 + 20x5 + -45x4 + 30x5 + 15x6 + (-3 * 6x5 + 2x * 6x5 + x2 * 6x5) + x6(-3 + 2x + x2)) = 0
(81 + -54x + -27x2 + 54x + -36x2 + -18x3 + -9x2 + 6x3 + 3x4 + -60x3 + 40x4 + 20x5 + -45x4 + 30x5 + 15x6 + (-18x5 + 12x6 + 6x7) + x6(-3 + 2x + x2)) = 0
(81 + -54x + -27x2 + 54x + -36x2 + -18x3 + -9x2 + 6x3 + 3x4 + -60x3 + 40x4 + 20x5 + -45x4 + 30x5 + 15x6 + -18x5 + 12x6 + 6x7 + (-3 * x6 + 2x * x6 + x2 * x6)) = 0
(81 + -54x + -27x2 + 54x + -36x2 + -18x3 + -9x2 + 6x3 + 3x4 + -60x3 + 40x4 + 20x5 + -45x4 + 30x5 + 15x6 + -18x5 + 12x6 + 6x7 + (-3x6 + 2x7 + x8)) = 0

Reorder the terms:
(81 + -54x + 54x + -27x2 + -36x2 + -9x2 + -18x3 + 6x3 + -60x3 + 3x4 + 40x4 + -45x4 + 20x5 + 30x5 + -18x5 + 15x6 + 12x6 + -3x6 + 6x7 + 2x7 + x8) = 0

Combine like terms: -54x + 54x = 0
(81 + 0 + -27x2 + -36x2 + -9x2 + -18x3 + 6x3 + -60x3 + 3x4 + 40x4 + -45x4 + 20x5 + 30x5 + -18x5 + 15x6 + 12x6 + -3x6 + 6x7 + 2x7 + x8) = 0
(81 + -27x2 + -36x2 + -9x2 + -18x3 + 6x3 + -60x3 + 3x4 + 40x4 + -45x4 + 20x5 + 30x5 + -18x5 + 15x6 + 12x6 + -3x6 + 6x7 + 2x7 + x8) = 0

Combine like terms: -27x2 + -36x2 = -63x2
(81 + -63x2 + -9x2 + -18x3 + 6x3 + -60x3 + 3x4 + 40x4 + -45x4 + 20x5 + 30x5 + -18x5 + 15x6 + 12x6 + -3x6 + 6x7 + 2x7 + x8) = 0

Combine like terms: -63x2 + -9x2 = -72x2
(81 + -72x2 + -18x3 + 6x3 + -60x3 + 3x4 + 40x4 + -45x4 + 20x5 + 30x5 + -18x5 + 15x6 + 12x6 + -3x6 + 6x7 + 2x7 + x8) = 0

Combine like terms: -18x3 + 6x3 = -12x3
(81 + -72x2 + -12x3 + -60x3 + 3x4 + 40x4 + -45x4 + 20x5 + 30x5 + -18x5 + 15x6 + 12x6 + -3x6 + 6x7 + 2x7 + x8) = 0

Combine like terms: -12x3 + -60x3 = -72x3
(81 + -72x2 + -72x3 + 3x4 + 40x4 + -45x4 + 20x5 + 30x5 + -18x5 + 15x6 + 12x6 + -3x6 + 6x7 + 2x7 + x8) = 0

Combine like terms: 3x4 + 40x4 = 43x4
(81 + -72x2 + -72x3 + 43x4 + -45x4 + 20x5 + 30x5 + -18x5 + 15x6 + 12x6 + -3x6 + 6x7 + 2x7 + x8) = 0

Combine like terms: 43x4 + -45x4 = -2x4
(81 + -72x2 + -72x3 + -2x4 + 20x5 + 30x5 + -18x5 + 15x6 + 12x6 + -3x6 + 6x7 + 2x7 + x8) = 0

Combine like terms: 20x5 + 30x5 = 50x5
(81 + -72x2 + -72x3 + -2x4 + 50x5 + -18x5 + 15x6 + 12x6 + -3x6 + 6x7 + 2x7 + x8) = 0

Combine like terms: 50x5 + -18x5 = 32x5
(81 + -72x2 + -72x3 + -2x4 + 32x5 + 15x6 + 12x6 + -3x6 + 6x7 + 2x7 + x8) = 0

Combine like terms: 15x6 + 12x6 = 27x6
(81 + -72x2 + -72x3 + -2x4 + 32x5 + 27x6 + -3x6 + 6x7 + 2x7 + x8) = 0

Combine like terms: 27x6 + -3x6 = 24x6
(81 + -72x2 + -72x3 + -2x4 + 32x5 + 24x6 + 6x7 + 2x7 + x8) = 0

Combine like terms: 6x7 + 2x7 = 8x7
(81 + -72x2 + -72x3 + -2x4 + 32x5 + 24x6 + 8x7 + x8) = 0

Solving
81 + -72x2 + -72x3 + -2x4 + 32x5 + 24x6 + 8x7 + x8 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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