(x-4)(x^2+1)(x^2+18x+82)=0

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Solution for (x-4)(x^2+1)(x^2+18x+82)=0 equation:


Simplifying
(x + -4)(x2 + 1)(x2 + 18x + 82) = 0

Reorder the terms:
(-4 + x)(x2 + 1)(x2 + 18x + 82) = 0

Reorder the terms:
(-4 + x)(1 + x2)(x2 + 18x + 82) = 0

Reorder the terms:
(-4 + x)(1 + x2)(82 + 18x + x2) = 0

Multiply (-4 + x) * (1 + x2)
(-4(1 + x2) + x(1 + x2))(82 + 18x + x2) = 0
((1 * -4 + x2 * -4) + x(1 + x2))(82 + 18x + x2) = 0
((-4 + -4x2) + x(1 + x2))(82 + 18x + x2) = 0
(-4 + -4x2 + (1 * x + x2 * x))(82 + 18x + x2) = 0
(-4 + -4x2 + (1x + x3))(82 + 18x + x2) = 0

Reorder the terms:
(-4 + 1x + -4x2 + x3)(82 + 18x + x2) = 0
(-4 + 1x + -4x2 + x3)(82 + 18x + x2) = 0

Multiply (-4 + 1x + -4x2 + x3) * (82 + 18x + x2)
(-4(82 + 18x + x2) + 1x * (82 + 18x + x2) + -4x2 * (82 + 18x + x2) + x3(82 + 18x + x2)) = 0
((82 * -4 + 18x * -4 + x2 * -4) + 1x * (82 + 18x + x2) + -4x2 * (82 + 18x + x2) + x3(82 + 18x + x2)) = 0
((-328 + -72x + -4x2) + 1x * (82 + 18x + x2) + -4x2 * (82 + 18x + x2) + x3(82 + 18x + x2)) = 0
(-328 + -72x + -4x2 + (82 * 1x + 18x * 1x + x2 * 1x) + -4x2 * (82 + 18x + x2) + x3(82 + 18x + x2)) = 0
(-328 + -72x + -4x2 + (82x + 18x2 + 1x3) + -4x2 * (82 + 18x + x2) + x3(82 + 18x + x2)) = 0
(-328 + -72x + -4x2 + 82x + 18x2 + 1x3 + (82 * -4x2 + 18x * -4x2 + x2 * -4x2) + x3(82 + 18x + x2)) = 0
(-328 + -72x + -4x2 + 82x + 18x2 + 1x3 + (-328x2 + -72x3 + -4x4) + x3(82 + 18x + x2)) = 0
(-328 + -72x + -4x2 + 82x + 18x2 + 1x3 + -328x2 + -72x3 + -4x4 + (82 * x3 + 18x * x3 + x2 * x3)) = 0
(-328 + -72x + -4x2 + 82x + 18x2 + 1x3 + -328x2 + -72x3 + -4x4 + (82x3 + 18x4 + x5)) = 0

Reorder the terms:
(-328 + -72x + 82x + -4x2 + 18x2 + -328x2 + 1x3 + -72x3 + 82x3 + -4x4 + 18x4 + x5) = 0

Combine like terms: -72x + 82x = 10x
(-328 + 10x + -4x2 + 18x2 + -328x2 + 1x3 + -72x3 + 82x3 + -4x4 + 18x4 + x5) = 0

Combine like terms: -4x2 + 18x2 = 14x2
(-328 + 10x + 14x2 + -328x2 + 1x3 + -72x3 + 82x3 + -4x4 + 18x4 + x5) = 0

Combine like terms: 14x2 + -328x2 = -314x2
(-328 + 10x + -314x2 + 1x3 + -72x3 + 82x3 + -4x4 + 18x4 + x5) = 0

Combine like terms: 1x3 + -72x3 = -71x3
(-328 + 10x + -314x2 + -71x3 + 82x3 + -4x4 + 18x4 + x5) = 0

Combine like terms: -71x3 + 82x3 = 11x3
(-328 + 10x + -314x2 + 11x3 + -4x4 + 18x4 + x5) = 0

Combine like terms: -4x4 + 18x4 = 14x4
(-328 + 10x + -314x2 + 11x3 + 14x4 + x5) = 0

Solving
-328 + 10x + -314x2 + 11x3 + 14x4 + x5 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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