(x^2+4)(x^2+16)(x^2+36)-1000=0

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Solution for (x^2+4)(x^2+16)(x^2+36)-1000=0 equation:


Simplifying
(x2 + 4)(x2 + 16)(x2 + 36) + -1000 = 0

Reorder the terms:
(4 + x2)(x2 + 16)(x2 + 36) + -1000 = 0

Reorder the terms:
(4 + x2)(16 + x2)(x2 + 36) + -1000 = 0

Reorder the terms:
(4 + x2)(16 + x2)(36 + x2) + -1000 = 0

Multiply (4 + x2) * (16 + x2)
(4(16 + x2) + x2(16 + x2))(36 + x2) + -1000 = 0
((16 * 4 + x2 * 4) + x2(16 + x2))(36 + x2) + -1000 = 0
((64 + 4x2) + x2(16 + x2))(36 + x2) + -1000 = 0
(64 + 4x2 + (16 * x2 + x2 * x2))(36 + x2) + -1000 = 0
(64 + 4x2 + (16x2 + x4))(36 + x2) + -1000 = 0

Combine like terms: 4x2 + 16x2 = 20x2
(64 + 20x2 + x4)(36 + x2) + -1000 = 0

Multiply (64 + 20x2 + x4) * (36 + x2)
(64(36 + x2) + 20x2 * (36 + x2) + x4(36 + x2)) + -1000 = 0
((36 * 64 + x2 * 64) + 20x2 * (36 + x2) + x4(36 + x2)) + -1000 = 0
((2304 + 64x2) + 20x2 * (36 + x2) + x4(36 + x2)) + -1000 = 0
(2304 + 64x2 + (36 * 20x2 + x2 * 20x2) + x4(36 + x2)) + -1000 = 0
(2304 + 64x2 + (720x2 + 20x4) + x4(36 + x2)) + -1000 = 0
(2304 + 64x2 + 720x2 + 20x4 + (36 * x4 + x2 * x4)) + -1000 = 0
(2304 + 64x2 + 720x2 + 20x4 + (36x4 + x6)) + -1000 = 0

Combine like terms: 64x2 + 720x2 = 784x2
(2304 + 784x2 + 20x4 + 36x4 + x6) + -1000 = 0

Combine like terms: 20x4 + 36x4 = 56x4
(2304 + 784x2 + 56x4 + x6) + -1000 = 0

Reorder the terms:
2304 + -1000 + 784x2 + 56x4 + x6 = 0

Combine like terms: 2304 + -1000 = 1304
1304 + 784x2 + 56x4 + x6 = 0

Solving
1304 + 784x2 + 56x4 + x6 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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